{"id":394843,"date":"2024-10-17T07:31:42","date_gmt":"2024-10-17T00:31:42","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=394843"},"modified":"2024-10-17T07:31:42","modified_gmt":"2024-10-17T00:31:42","slug":"cach-bam-may-tinh-lim","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/cach-bam-may-tinh-lim\/","title":{"rendered":"C\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim, t\u00edch ph\u00e2n, \u0111\u1ea1o h\u00e0m, nguy\u00ean h\u00e0m thi tr\u1eafc nghi\u1ec7m"},"content":{"rendered":"<p>Trong c\u00e1c k\u1ef3 thi tr\u1eafc nghi\u1ec7m, c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim, t\u00edch ph\u00e2n, \u0111\u1ea1o h\u00e0m v\u00e0 nguy\u00ean h\u00e0m l\u00e0 k\u1ef9 n\u0103ng quan tr\u1ecdng gi\u00fap b\u1ea1n ti\u1ebft ki\u1ec7m th\u1eddi gian v\u00e0 \u0111\u1ea1t \u0111i\u1ec3m cao. Tuy nhi\u00ean, kh\u00f4ng ph\u1ea3i ai c\u0169ng n\u1eafm v\u1eefng c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh sao cho nhanh v\u00e0 \u0111\u00fang. B\u00e0i vi\u1ebft n\u00e0y s\u1ebd h\u01b0\u1edbng d\u1eabn chi ti\u1ebft c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh \u0111\u1ec3 gi\u1ea3i b\u00e0i to\u00e1n lim, t\u00edch ph\u00e2n, \u0111\u1ea1o h\u00e0m v\u00e0 nguy\u00ean h\u00e0m m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3 nh\u1ea5t, gi\u00fap b\u1ea1n \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111i\u1ec3m cao trong c\u00e1c k\u1ef3 thi quan tr\u1ecdng.<\/p>\n<h2>Gi\u1edbi h\u1ea1n lim l\u00e0 g\u00ec?<\/h2>\n<p>Gi\u1edbi h\u1ea1n (lim) trong to\u00e1n h\u1ecdc l\u00e0 kh\u00e1i ni\u1ec7m d\u00f9ng \u0111\u1ec3 m\u00f4 t\u1ea3 h\u00e0nh vi c\u1ee7a m\u1ed9t h\u00e0m s\u1ed1 khi bi\u1ebfn s\u1ed1 ti\u1ebfn \u0111\u1ebfn m\u1ed9t gi\u00e1 tr\u1ecb c\u1ee5 th\u1ec3. C\u1ee5 th\u1ec3, lim bi\u1ec3u di\u1ec5n gi\u00e1 tr\u1ecb m\u00e0 h\u00e0m s\u1ed1 ti\u1ebfn t\u1edbi khi \u0111\u1ea7u v\u00e0o (x) ti\u1ebfn \u0111\u1ebfn m\u1ed9t \u0111i\u1ec3m n\u00e0o \u0111\u00f3 ho\u1eb7c khi x ti\u1ebfn ra v\u00f4 c\u1ef1c. \u0110\u00e2y l\u00e0 kh\u00e1i ni\u1ec7m c\u01a1 b\u1ea3n trong gi\u1ea3i t\u00edch, \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng nhi\u1ec1u trong t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m, t\u00edch ph\u00e2n v\u00e0 nguy\u00ean h\u00e0m.<\/p>\n<p>Trong qu\u00e1 tr\u00ecnh thi tr\u1eafc nghi\u1ec7m, vi\u1ec7c t\u00ednh gi\u1edbi h\u1ea1n lim th\u01b0\u1eddng khi\u1ebfn nhi\u1ec1u h\u1ecdc sinh g\u1eb7p kh\u00f3 kh\u0103n. Tuy nhi\u00ean, v\u1edbi s\u1ef1 tr\u1ee3 gi\u00fap c\u1ee7a m\u00e1y t\u00ednh c\u1ea7m tay, b\u1ea1n c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng t\u00ednh to\u00e1n lim ch\u1ec9 trong v\u00e0i b\u01b0\u1edbc \u0111\u01a1n gi\u1ea3n. \u0110\u1ec3 n\u1eafm r\u00f5 <strong>c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim<\/strong>, b\u1ea1n c\u1ea7n l\u00e0m quen v\u1edbi c\u00e1c thao t\u00e1c nh\u1eadp s\u1ed1 v\u00e0 bi\u1ec3u th\u1ee9c \u0111\u00fang c\u00e1ch, t\u1eeb \u0111\u00f3 r\u00fat ng\u1eafn th\u1eddi gian gi\u1ea3i b\u00e0i v\u00e0 t\u0103ng \u0111\u1ed9 ch\u00ednh x\u00e1c.<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-4.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-4-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-4-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-396858 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-4.jpg\" alt=\"cach-bam-may-tinh-lim-\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2>C\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim chi ti\u1ebft<\/h2>\n<p>Sau khi \u0111\u00e3 hi\u1ec3u \u0111\u01b0\u1ee3c lim l\u00e0 g\u00ec, c\u00f9ng m\u00ecnh \u0111\u1ecdc h\u01b0\u1edbng d\u1eabn c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh gi\u1ea3i lim nh\u01b0 sau nh\u00e9:<\/p>\n<p><strong>B\u01b0\u1edbc 1:<\/strong> Chuy\u1ec3n m\u00e1y t\u00ednh v\u1ec1 ch\u1ebf \u0111\u1ed9 t\u00ednh to\u00e1n: B\u1eadt m\u00e1y t\u00ednh l\u00ean, sau \u0111\u00f3 nh\u1ea5n MODE v\u00e0 ch\u1ecdn 1 \u0111\u1ec3 v\u00e0o ch\u1ebf \u0111\u1ed9 t\u00ednh to\u00e1n th\u00f4ng th\u01b0\u1eddng.<\/p>\n<p><strong>B\u01b0\u1edbc 2:<\/strong> Nh\u1eadp bi\u1ec3u th\u1ee9c c\u1ea7n t\u00ednh lim. Nh\u1eadp bi\u1ec3u th\u1ee9c c\u1ea7n t\u00ednh gi\u1edbi h\u1ea1n b\u1eb1ng c\u00e1c ph\u00edm s\u1ed1 v\u00e0 ph\u00e9p t\u00ednh. <strong>V\u00ed d\u1ee5<\/strong>: \u0110\u1ec3 t\u00ednh gi\u1edbi h\u1ea1n <span class=\"katex\"><span class=\"katex-mathml\">lim\u2061x\u21922&#215;2\u22124x\u22122\\lim_{x \\to 2} \\frac{x^2 &#8211; 4}{x &#8211; 2}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mop\">lim<span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mrel mtight\">\u2192<\/span>2<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mbin mtight\">\u2212<\/span>2<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"sizing reset-size3 size1 mtight\">2<\/span><\/span><\/span><span class=\"mbin mtight\">\u2212<\/span>4<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>, b\u1ea1n th\u1ef1c hi\u1ec7n nh\u1eadp nh\u01b0 sau:<\/p>\n<ul>\n<li>Nh\u1ea5n ph\u00edm <strong>(<\/strong><\/li>\n<li>Nh\u1eadp bi\u1ec3u th\u1ee9c <strong>X^2 &#8211; 4<\/strong><\/li>\n<li>Nh\u1ea5n ph\u00edm <strong>\u00f7<\/strong> (ph\u00edm chia)<\/li>\n<li>Nh\u1ea5n ph\u00edm <strong>X &#8211; 2<\/strong><\/li>\n<li>Nh\u1ea5n ph\u00edm <strong>)<\/strong><\/li>\n<\/ul>\n<p><strong>B\u01b0\u1edbc 3:<\/strong> S\u1eed d\u1ee5ng ch\u1ee9c n\u0103ng t\u00ednh gi\u1edbi h\u1ea1n (CALC): Sau khi nh\u1eadp bi\u1ec3u th\u1ee9c, b\u1ea1n nh\u1ea5n SHIFT r\u1ed3i nh\u1ea5n ph\u00edm CALC (n\u00fat CALC th\u01b0\u1eddng n\u1eb1m b\u00ean tr\u00e1i ph\u00eda tr\u00ean n\u00fat EXE).<\/p>\n<p><strong>B\u01b0\u1edbc 4:<\/strong> Nh\u1eadp gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ebfn xxx: Sau khi nh\u1ea5n <strong>SHIFT + CALC<\/strong>, m\u00e1y t\u00ednh s\u1ebd y\u00eau c\u1ea7u b\u1ea1n nh\u1eadp gi\u00e1 tr\u1ecb m\u00e0 xxx ti\u1ebfn \u0111\u1ebfn. V\u00ed d\u1ee5: n\u1ebfu b\u1ea1n c\u1ea7n t\u00ednh gi\u1edbi h\u1ea1n khi xxx ti\u1ebfn \u0111\u1ebfn 2, b\u1ea1n nh\u1eadp 2.<\/p>\n<p><strong>B\u01b0\u1edbc 5:<\/strong> Xem k\u1ebft qu\u1ea3: Nh\u1ea5n ph\u00edm = \u0111\u1ec3 xem k\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh gi\u1edbi h\u1ea1n.<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-5.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-5-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-5-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-396857 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-5.jpg\" alt=\"cach-bam-may-tinh-lim-\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><strong>V\u00ed d\u1ee5 chi ti\u1ebft:<\/strong><\/p>\n<p>T\u00ednh lim (x \u2192 2) [(x &#8211; 2) \/ (x^2 &#8211; 4)]:<\/p>\n<ul>\n<li>Nh\u1eadp bi\u1ec3u th\u1ee9c: Nh\u1ea5n <strong>(<\/strong>, nh\u1eadp <strong>X^2 &#8211; 4<\/strong>, nh\u1ea5n <strong>\u00f7<\/strong>, nh\u1eadp <strong>X &#8211; 2<\/strong>, nh\u1ea5n <strong>)<\/strong>.<\/li>\n<li>Nh\u1ea5n <strong>SHIFT<\/strong> + <strong>CALC<\/strong> \u0111\u1ec3 chuy\u1ec3n sang ch\u1ebf \u0111\u1ed9 t\u00ednh gi\u1edbi h\u1ea1n.<\/li>\n<li>Nh\u1eadp gi\u00e1 tr\u1ecb <span class=\"katex\"><span class=\"katex-mathml\">x=2x = 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span> khi m\u00e1y y\u00eau c\u1ea7u.<\/li>\n<li>Nh\u1ea5n <strong>=<\/strong> \u0111\u1ec3 nh\u1eadn k\u1ebft qu\u1ea3.<\/li>\n<\/ul>\n<h2>C\u00e1ch b\u1ea5m m\u00e1y t\u00ednh t\u00edch ph\u00e2n<\/h2>\n<p>Ngo\u00e0i vi\u1ec7c t\u00ecm hi\u1ec3u c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim, c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh t\u00edch ph\u00e2n c\u0169ng r\u1ea5t quan tr\u1ecdng.<\/p>\n<p><strong>B\u01b0\u1edbc 1<\/strong>: B\u1eadt m\u00e1y t\u00ednh v\u00e0 v\u00e0o ch\u1ebf \u0111\u1ed9 t\u00ednh to\u00e1n c\u01a1 b\u1ea3n. B\u1ea1n ch\u1ec9 c\u1ea7n b\u1ea5m ph\u00edm <strong>MODE<\/strong>, sau \u0111\u00f3 ch\u1ecdn s\u1ed1 <strong>1<\/strong> \u0111\u1ec3 v\u00e0o ch\u1ebf \u0111\u1ed9 t\u00ednh to\u00e1n th\u00f4ng th\u01b0\u1eddng.<\/p>\n<p><strong>B\u01b0\u1edbc 2<\/strong>: Nh\u1ea5n ph\u00edm <strong>SHIFT<\/strong>, sau \u0111\u00f3 nh\u1ea5n ph\u00edm c\u00f3 d\u1ea5u t\u00edch ph\u00e2n (n\u1eb1m \u1edf v\u1ecb tr\u00ed ph\u00edm ph\u00e2n s\u1ed1). L\u00fac n\u00e0y tr\u00ean m\u00e0n h\u00ecnh s\u1ebd hi\u1ec7n bi\u1ec3u t\u01b0\u1ee3ng t\u00edch ph\u00e2n.<\/p>\n<p><strong>B\u01b0\u1edbc 3<\/strong>: Nh\u1eadp h\u00e0m s\u1ed1 c\u1ea7n t\u00ednh. V\u00ed d\u1ee5, n\u1ebfu b\u1ea1n mu\u1ed1n t\u00ednh t\u00edch ph\u00e2n c\u1ee7a h\u00e0m <code>2x^2 + 3x<\/code>, b\u1ea1n nh\u1eadp l\u1ea7n l\u01b0\u1ee3t nh\u01b0 sau:<\/p>\n<ul>\n<li>Nh\u1ea5n ph\u00edm <strong>2<\/strong><\/li>\n<li>Nh\u1ea5n ph\u00edm <strong>ALPHA<\/strong> r\u1ed3i nh\u1ea5n ph\u00edm c\u00f3 k\u00fd hi\u1ec7u <code>X<\/code> \u0111\u1ec3 nh\u1eadp ch\u1eef <code>x<\/code><\/li>\n<li>Nh\u1ea5n ph\u00edm m\u0169 (h\u00ecnh tam gi\u00e1c tr\u00ean ph\u00edm) \u0111\u1ec3 nh\u1eadp s\u1ed1 m\u0169 <strong>2<\/strong><\/li>\n<li>Nh\u1ea5n d\u1ea5u c\u1ed9ng <strong>+<\/strong><\/li>\n<li>Nh\u1ea5n ph\u00edm <strong>3<\/strong>, sau \u0111\u00f3 l\u1ea1i nh\u1ea5n <strong>ALPHA<\/strong> r\u1ed3i <strong>X<\/strong> \u0111\u1ec3 nh\u1eadp <code>3x<\/code><\/li>\n<\/ul>\n<p><strong>B\u01b0\u1edbc 4<\/strong>: Nh\u1ea5n ph\u00edm d\u1ea5u ph\u1ea9y \u0111\u1ec3 chuy\u1ec3n qua nh\u1eadp c\u1eadn d\u01b0\u1edbi. V\u00ed d\u1ee5, n\u1ebfu c\u1eadn d\u01b0\u1edbi l\u00e0 <strong>1<\/strong>, b\u1ea1n nh\u1ea5n ph\u00edm <strong>1<\/strong>.<\/p>\n<p><strong>B\u01b0\u1edbc 5<\/strong>: Nh\u1ea5n ti\u1ebfp ph\u00edm d\u1ea5u ph\u1ea9y \u0111\u1ec3 nh\u1eadp c\u1eadn tr\u00ean. V\u00ed d\u1ee5, n\u1ebfu c\u1eadn tr\u00ean l\u00e0 <strong>2<\/strong>, b\u1ea1n nh\u1ea5n ph\u00edm <strong>2<\/strong>.<\/p>\n<p><strong>B\u01b0\u1edbc 6<\/strong>: Nh\u1ea5n ph\u00edm <strong>=<\/strong> \u0111\u1ec3 m\u00e1y t\u00ednh th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh v\u00e0 \u0111\u01b0a ra k\u1ebft qu\u1ea3 c\u1ee7a t\u00edch ph\u00e2n.<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-396851 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim.jpg\" alt=\"cach-bam-may-tinh-lim\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><strong>V\u00ed d\u1ee5 minh h\u1ecda<\/strong>: T\u00ednh t\u00edch ph\u00e2n c\u1ee7a h\u00e0m s\u1ed1 2x^2 + 3x\u00a0t\u1eeb c\u1eadn d\u01b0\u1edbi <strong>1<\/strong> \u0111\u1ebfn c\u1eadn tr\u00ean <strong>2<\/strong>:<\/p>\n<ul>\n<li>Nh\u1ea5n <strong>SHIFT<\/strong> + ph\u00edm t\u00edch ph\u00e2n.<\/li>\n<li>Nh\u1eadp <strong>2<\/strong>, <strong>ALPHA<\/strong>, <strong>X<\/strong>, m\u0169 <strong>2<\/strong>, <strong>+<\/strong>, <strong>3<\/strong>, <strong>ALPHA<\/strong>, <strong>X<\/strong>.<\/li>\n<li>Nh\u1ea5n d\u1ea5u ph\u1ea9y, nh\u1eadp <strong>1<\/strong> (c\u1eadn d\u01b0\u1edbi).<\/li>\n<li>Nh\u1ea5n d\u1ea5u ph\u1ea9y, nh\u1eadp <strong>2<\/strong> (c\u1eadn tr\u00ean).<\/li>\n<li>Nh\u1ea5n <strong>=<\/strong> \u0111\u1ec3 nh\u1eadn k\u1ebft qu\u1ea3.<\/li>\n<\/ul>\n<h2>C\u00e1ch b\u1ea5m m\u00e1y t\u00ednh \u0111\u1ea1o h\u00e0m<\/h2>\n<p>Sau khi t\u00ecm hi\u1ec3u qua c\u00e1c c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim, t\u00edch ph\u00e2n, sau \u0111\u00e2y l\u00e0 c\u00e1ch b\u1ea5m \u0111\u1ea1o h\u00e0m:<\/p>\n<div><strong>B\u01b0\u1edbc 1: Chuy\u1ec3n m\u00e1y t\u00ednh v\u1ec1 ch\u1ebf \u0111\u1ed9 t\u00ednh to\u00e1n: <\/strong>B\u1eadt m\u00e1y t\u00ednh, nh\u1ea5n <strong>MODE<\/strong> v\u00e0 ch\u1ecdn <strong>1<\/strong> \u0111\u1ec3 v\u00e0o ch\u1ebf \u0111\u1ed9 t\u00ednh to\u00e1n th\u00f4ng th\u01b0\u1eddng.<\/div>\n<p><strong>B\u01b0\u1edbc 2:<\/strong> Nh\u1eadp bi\u1ec3u th\u1ee9c c\u1ea7n t\u00ednh \u0111\u1ea1o h\u00e0m: Nh\u1ea5n SHIFT r\u1ed3i nh\u1ea5n ph\u00edm d\/dx (ph\u00edm n\u00e0y th\u01b0\u1eddng n\u1eb1m g\u1ea7n c\u00e1c ph\u00edm ch\u1ee9c n\u0103ng).<\/p>\n<p><strong>B\u01b0\u1edbc 3:<\/strong> Nh\u1eadp h\u00e0m s\u1ed1 c\u1ea7n t\u00ednh. Sau khi nh\u1ea5n <strong>SHIFT<\/strong> + <strong>d\/dx<\/strong>, m\u00e1y t\u00ednh s\u1ebd y\u00eau c\u1ea7u b\u1ea1n nh\u1eadp bi\u1ec3u th\u1ee9c h\u00e0m c\u1ea7n t\u00ednh \u0111\u1ea1o h\u00e0m. <strong>V\u00ed d\u1ee5<\/strong>: \u0110\u1ec3 t\u00ednh \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m <span class=\"katex\"><span class=\"katex-mathml\">f(x)=x2+3xf(x) = x^2 + 3x<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span>, b\u1ea1n th\u1ef1c hi\u1ec7n nh\u01b0 sau:<\/p>\n<ul>\n<li>Nh\u1ea5n <strong>(<\/strong><\/li>\n<li>Nh\u1eadp bi\u1ec3u th\u1ee9c <strong>X^2 + 3X<\/strong><\/li>\n<li>Nh\u1ea5n ph\u00edm <strong>)<\/strong>.<\/li>\n<\/ul>\n<div><strong>B\u01b0\u1edbc 4: Nh\u1eadp gi\u00e1 tr\u1ecb c\u1ee7a x<\/strong><\/div>\n<ul>\n<li>Sau khi nh\u1eadp h\u00e0m, m\u00e1y s\u1ebd y\u00eau c\u1ea7u b\u1ea1n nh\u1eadp gi\u00e1 tr\u1ecb <span class=\"katex\"><span class=\"katex-mathml\">xx<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span> t\u1ea1i \u0111i\u1ec3m m\u00e0 b\u1ea1n mu\u1ed1n t\u00ednh \u0111\u1ea1o h\u00e0m.<\/li>\n<li>V\u00ed d\u1ee5: n\u1ebfu b\u1ea1n c\u1ea7n t\u00ednh \u0111\u1ea1o h\u00e0m t\u1ea1i <span class=\"katex\"><span class=\"katex-mathml\">x=2x = 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span>, b\u1ea1n nh\u1eadp <strong>2<\/strong>.<\/li>\n<\/ul>\n<div><strong>B\u01b0\u1edbc 5: Xem k\u1ebft qu\u1ea3: <\/strong>Nh\u1ea5n ph\u00edm <strong>=<\/strong> \u0111\u1ec3 xem k\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh \u0111\u1ea1o h\u00e0m.<\/div>\n<div><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-2.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-2-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-2-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-396849 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-2.jpg\" alt=\"cach-bam-may-tinh-lim\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/div>\n<div><strong>V\u00ed d\u1ee5 chi ti\u1ebft:<\/strong><\/div>\n<p>T\u00ednh \u0111\u1ea1o h\u00e0m c\u1ee7a <span class=\"katex\"><span class=\"katex-mathml\">f(x)=x2+3xf(x) = x^2 + 3x<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span> t\u1ea1i <span class=\"katex\"><span class=\"katex-mathml\">x=2x = 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span>:<\/p>\n<ul>\n<li>Nh\u1ea5n <strong>SHIFT<\/strong> + <strong>d\/dx<\/strong>.<\/li>\n<li>Nh\u1eadp bi\u1ec3u th\u1ee9c: <strong>(X^2 + 3X)<\/strong>.<\/li>\n<li>Nh\u1eadp gi\u00e1 tr\u1ecb <span class=\"katex\"><span class=\"katex-mathml\">x=2x = 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span>.<\/li>\n<li>Nh\u1ea5n <strong>=<\/strong> \u0111\u1ec3 nh\u1eadn k\u1ebft qu\u1ea3.<\/li>\n<\/ul>\n<h2 class=\"btn-bubble-icon\">C\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim, nguy\u00ean h\u00e0m<\/h2>\n<p>Vi\u1ec7c n\u1eafm v\u1eefng c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh gi\u1ea3i lim l\u00e0 r\u1ea5t quan tr\u1ecdng. Tuy nhi\u00ean, c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh nguy\u00ean h\u00e0m c\u0169ng quan tr\u1ecdng kh\u00f4ng k\u00e9m.<\/p>\n<div>\n<p><strong>B\u01b0\u1edbc 1:<\/strong> Chuy\u1ec3n m\u00e1y t\u00ednh v\u1ec1 ch\u1ebf \u0111\u1ed9 t\u00ednh to\u00e1n: B\u1eadt m\u00e1y t\u00ednh, nh\u1ea5n MODE v\u00e0 ch\u1ecdn 1 \u0111\u1ec3 v\u00e0o ch\u1ebf \u0111\u1ed9 t\u00ednh to\u00e1n th\u00f4ng th\u01b0\u1eddng.<\/p>\n<p><strong>B\u01b0\u1edbc 2:<\/strong> Nh\u1ea5n ph\u00edm t\u00ednh nguy\u00ean h\u00e0m<\/p>\n<\/div>\n<ul>\n<li>Nh\u1ea5n <strong>SHIFT<\/strong> r\u1ed3i nh\u1ea5n ph\u00edm <strong>\u222b<\/strong> (ph\u00edm n\u00e0y th\u01b0\u1eddng n\u1eb1m g\u1ea7n c\u00e1c ph\u00edm ch\u1ee9c n\u0103ng, th\u01b0\u1eddng l\u00e0 k\u00fd hi\u1ec7u t\u00edch ph\u00e2n).<\/li>\n<\/ul>\n<div><strong>B\u01b0\u1edbc 3: Nh\u1eadp h\u00e0m s\u1ed1 c\u1ea7n t\u00ednh nguy\u00ean h\u00e0m<\/strong><\/div>\n<ul>\n<li>Sau khi nh\u1ea5n <strong>SHIFT<\/strong> + <strong>\u222b<\/strong>, m\u00e1y t\u00ednh s\u1ebd y\u00eau c\u1ea7u b\u1ea1n nh\u1eadp bi\u1ec3u th\u1ee9c h\u00e0m c\u1ea7n t\u00ednh nguy\u00ean h\u00e0m.<\/li>\n<li><strong>V\u00ed d\u1ee5<\/strong>: \u0110\u1ec3 t\u00ednh nguy\u00ean h\u00e0m c\u1ee7a h\u00e0m <span class=\"katex\"><span class=\"katex-mathml\">f(x)=x2+3xf(x) = x^2 + 3x<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span>, b\u1ea1n th\u1ef1c hi\u1ec7n nh\u01b0 sau:\n<ul>\n<li>Nh\u1ea5n <strong>(<\/strong><\/li>\n<li>Nh\u1eadp bi\u1ec3u th\u1ee9c <strong>X^2 + 3X<\/strong><\/li>\n<li>Nh\u1ea5n ph\u00edm <strong>)<\/strong>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<div><strong>B\u01b0\u1edbc 4: Nh\u1eadp gi\u1edbi h\u1ea1n (n\u1ebfu c\u00f3)<\/strong><\/div>\n<ul>\n<li>N\u1ebfu b\u1ea1n mu\u1ed1n t\u00ednh nguy\u00ean h\u00e0m kh\u00f4ng c\u00f3 gi\u1edbi h\u1ea1n, b\u1ea1n c\u00f3 th\u1ec3 b\u1ecf qua b\u01b0\u1edbc n\u00e0y.<\/li>\n<li>N\u1ebfu c\u00f3 gi\u1edbi h\u1ea1n t\u1eeb <span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span> \u0111\u1ebfn <span class=\"katex\"><span class=\"katex-mathml\">bb<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span>, b\u1ea1n s\u1ebd nh\u1eadp gi\u00e1 tr\u1ecb c\u1ee7a <span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span> v\u00e0 <span class=\"katex\"><span class=\"katex-mathml\">bb<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> nh\u01b0 sau: Nh\u1eadp gi\u00e1 tr\u1ecb c\u1ee7a <span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span> (gi\u1edbi h\u1ea1n d\u01b0\u1edbi), nh\u1ea5n ph\u00edm <strong>,<\/strong> (ph\u00edm ph\u1ea9y), r\u1ed3i nh\u1eadp gi\u00e1 tr\u1ecb c\u1ee7a <span class=\"katex\"><span class=\"katex-mathml\">bb<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> (gi\u1edbi h\u1ea1n tr\u00ean).<\/li>\n<\/ul>\n<p><strong>B\u01b0\u1edbc 5:<\/strong> Xem k\u1ebft qu\u1ea3: Nh\u1ea5n ph\u00edm = \u0111\u1ec3 xem k\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh nguy\u00ean h\u00e0m.<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-6.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-6-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-6-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-396859 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-6.jpg\" alt=\"cach-bam-may-tinh-lim-\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><strong>V\u00ed d\u1ee5 chi ti\u1ebft:<\/strong> T\u00ednh nguy\u00ean h\u00e0m c\u1ee7a <span class=\"katex\"><span class=\"katex-mathml\">f(x)=x2+3xf(x) = x^2 + 3x<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span> t\u1eeb <span class=\"katex\"><span class=\"katex-mathml\">x=0x = 0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span> \u0111\u1ebfn <span class=\"katex\"><span class=\"katex-mathml\">x=2x = 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span>:<\/p>\n<ul>\n<li>Nh\u1ea5n <strong>SHIFT<\/strong> + <strong>\u222b<\/strong>.<\/li>\n<li>Nh\u1eadp bi\u1ec3u th\u1ee9c: <strong>(X^2 + 3X)<\/strong>.<\/li>\n<li>Nh\u1eadp gi\u1edbi h\u1ea1n: Nh\u1eadp <strong>0<\/strong>, nh\u1ea5n <strong>,<\/strong>, r\u1ed3i nh\u1eadp <strong>2<\/strong>.<\/li>\n<li>Nh\u1ea5n <strong>=<\/strong> \u0111\u1ec3 nh\u1eadn k\u1ebft qu\u1ea3.<\/li>\n<\/ul>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p (FAQ) khi t\u00ecm hi\u1ec3u c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim<\/h2>\n<p>Khi t\u00ecm hi\u1ec3u c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh gi\u1ea3i lim, nhi\u1ec1u ng\u01b0\u1eddi th\u01b0\u1eddng c\u00f3 nh\u1eefng th\u1eafc m\u1eafc chung li\u00ean quan \u0111\u1ebfn quy tr\u00ecnh v\u00e0 ph\u01b0\u01a1ng ph\u00e1p s\u1eed d\u1ee5ng.<\/p>\n<h3>T\u1ea1i sao ph\u1ea3i t\u00ednh gi\u1edbi h\u1ea1n?<\/h3>\n<p>Ph\u00e2n t\u00edch h\u00e0nh vi c\u1ee7a h\u00e0m: Gi\u1edbi h\u1ea1n gi\u00fap ch\u00fang ta hi\u1ec3u r\u00f5 c\u00e1ch th\u1ee9c h\u00e0m s\u1ed1 h\u00e0nh x\u1eed khi bi\u1ebfn s\u1ed1 ti\u1ebfn g\u1ea7n \u0111\u1ebfn m\u1ed9t gi\u00e1 tr\u1ecb c\u1ee5 th\u1ec3 ho\u1eb7c v\u00f4 c\u1ef1c.<\/p>\n<p>C\u01a1 s\u1edf cho c\u00e1c kh\u00e1i ni\u1ec7m kh\u00e1c: Gi\u1edbi h\u1ea1n l\u00e0 n\u1ec1n t\u1ea3ng \u0111\u1ec3 ph\u00e1t tri\u1ec3n c\u00e1c kh\u00e1i ni\u1ec7m kh\u00e1c trong gi\u1ea3i t\u00edch, ch\u1eb3ng h\u1ea1n nh\u01b0 \u0111\u1ea1o h\u00e0m v\u00e0 t\u00edch ph\u00e2n.<\/p>\n<p>Gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n kh\u00f4ng x\u00e1c \u0111\u1ecbnh: Khi g\u1eb7p ph\u1ea3i c\u00e1c b\u00e0i to\u00e1n c\u00f3 d\u1ea1ng kh\u00f4ng x\u00e1c \u0111\u1ecbnh, nh\u01b0\u00a0t\u00ednh gi\u1edbi h\u1ea1n l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p quan tr\u1ecdng \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m.<\/p>\n<h3>T\u1ea1i sao c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim kh\u00f4ng cho k\u1ebft qu\u1ea3 \u0111\u00fang?<\/h3>\n<p>Nh\u1eadp sai bi\u1ec3u th\u1ee9c: \u0110\u1ea3m b\u1ea3o b\u1ea1n nh\u1eadp ch\u00ednh x\u00e1c bi\u1ec3u th\u1ee9c to\u00e1n h\u1ecdc, \u0111\u1eb7c bi\u1ec7t l\u00e0 c\u00e1c d\u1ea5u ngo\u1eb7c v\u00e0 k\u00fd hi\u1ec7u.<\/p>\n<p>Ch\u01b0a chuy\u1ec3n m\u00e1y t\u00ednh v\u1ec1 ch\u1ebf \u0111\u1ed9 t\u00ednh to\u00e1n: Tr\u01b0\u1edbc khi t\u00ednh to\u00e1n, c\u1ea7n ch\u1eafc ch\u1eafn r\u1eb1ng m\u00e1y t\u00ednh \u0111\u00e3 \u1edf ch\u1ebf \u0111\u1ed9 t\u00ednh to\u00e1n th\u00f4ng th\u01b0\u1eddng.<\/p>\n<p>Nh\u1eadp gi\u00e1 tr\u1ecb x kh\u00f4ng \u0111\u00fang c\u00e1ch: Ki\u1ec3m tra l\u1ea1i c\u00e1ch nh\u1eadp gi\u00e1 tr\u1ecb x khi m\u00e1y y\u00eau c\u1ea7u.<\/p>\n<h3>S\u1eed d\u1ee5ng m\u00e1y t\u00ednh n\u00e0o \u0111\u1ec3 t\u00ednh gi\u1edbi h\u1ea1n?<\/h3>\n<p>H\u1ea7u h\u1ebft c\u00e1c m\u00e1y t\u00ednh khoa h\u1ecdc hi\u1ec7n \u0111\u1ea1i, nh\u01b0 Casio fx-570VN Plus, Texas Instruments TI-84, ho\u1eb7c c\u00e1c \u1ee9ng d\u1ee5ng m\u00e1y t\u00ednh tr\u00ean \u0111i\u1ec7n tho\u1ea1i th\u00f4ng minh \u0111\u1ec1u c\u00f3 ch\u1ee9c n\u0103ng t\u00ednh gi\u1edbi h\u1ea1n. Ki\u1ec3m tra s\u00e1ch h\u01b0\u1edbng d\u1eabn ho\u1eb7c t\u00ecm ki\u1ebfm tr\u1ef1c tuy\u1ebfn \u0111\u1ec3 bi\u1ebft th\u00eam th\u00f4ng tin c\u1ee5 th\u1ec3 v\u1ec1 ch\u1ee9c n\u0103ng c\u1ee7a m\u00e1y t\u00ednh b\u1ea1n \u0111ang s\u1eed d\u1ee5ng.<\/p>\n<p><strong>Casio fx-570VN Plus: <\/strong>T\u00ednh gi\u1edbi h\u1ea1n, \u0111\u1ea1o h\u00e0m, t\u00edch ph\u00e2n, gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh. Giao di\u1ec7n d\u1ec5 s\u1eed d\u1ee5ng, h\u1ed7 tr\u1ee3 nhi\u1ec1u h\u00e0m to\u00e1n h\u1ecdc, ph\u00f9 h\u1ee3p cho h\u1ecdc sinh THPT.<\/p>\n<p><strong>Casio fx-991VN Plus:<\/strong> T\u01b0\u01a1ng t\u1ef1 nh\u01b0 fx-570VN Plus, c\u00f3 th\u00eam nhi\u1ec1u ch\u1ee9c n\u0103ng m\u1edf r\u1ed9ng. M\u00e0n h\u00ecnh l\u1edbn, d\u1ec5 \u0111\u1ecdc, th\u00edch h\u1ee3p cho c\u00e1c m\u00f4n h\u1ecdc n\u00e2ng cao nh\u01b0 \u0110\u1ea1i s\u1ed1 v\u00e0 Gi\u1ea3i t\u00edch.<\/p>\n<p><strong>Texas Instruments TI-30X IIS: <\/strong>T\u00ednh to\u00e1n c\u00e1c h\u00e0m s\u1ed1 c\u01a1 b\u1ea3n, h\u1ed7 tr\u1ee3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 t\u00ednh to\u00e1n th\u1ed1ng k\u00ea.\u00a0Thi\u1ebft k\u1ebf ch\u1eafc ch\u1eafn, pin l\u00e2u, ph\u00f9 h\u1ee3p cho h\u1ecdc sinh ph\u1ed5 th\u00f4ng.<\/p>\n<p><strong>HP 10s+:<\/strong> T\u00ednh to\u00e1n \u0111a d\u1ea1ng v\u1edbi kh\u1ea3 n\u0103ng gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p to\u00e1n ph\u1ee9c t\u1ea1p. Giao di\u1ec7n th\u00e2n thi\u1ec7n v\u1edbi h\u1ecdc sinh.<\/p>\n<p><strong>Sharp EL-531: <\/strong>H\u1ed7 tr\u1ee3 t\u00ednh to\u00e1n c\u01a1 b\u1ea3n v\u00e0 m\u1ed9t s\u1ed1 h\u00e0m s\u1ed1 ph\u1ee9c t\u1ea1p. Kh\u1ed1i l\u01b0\u1ee3ng nh\u1eb9, g\u1ecdn g\u00e0ng, d\u1ec5 mang theo, ph\u00f9 h\u1ee3p cho h\u1ecdc sinh.<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-3.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-3-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/10\/cach-bam-may-tinh-lim-3-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-396848 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-3.jpg\" alt=\"cach-bam-may-tinh-lim\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/10\/cach-bam-may-tinh-lim-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3>C\u00f3 c\u1ea7n thi\u1ebft ph\u1ea3i h\u1ecdc gi\u1edbi h\u1ea1n \u0111\u1ec3 l\u00e0m b\u00e0i ki\u1ec3m tra to\u00e1n kh\u00f4ng?<\/h3>\n<p>Tr\u1ea3 l\u1eddi: C\u00f3, ki\u1ebfn th\u1ee9c v\u1ec1 gi\u1edbi h\u1ea1n l\u00e0 r\u1ea5t quan tr\u1ecdng trong c\u00e1c k\u1ef3 thi to\u00e1n h\u1ecdc, \u0111\u1eb7c bi\u1ec7t trong c\u00e1c b\u00e0i thi v\u1ec1 gi\u1ea3i t\u00edch v\u00e0 \u0111\u1ea1i s\u1ed1. Nhi\u1ec1u \u0111\u1ec1 thi y\u00eau c\u1ea7u h\u1ecdc sinh hi\u1ec3u v\u00e0 \u00e1p d\u1ee5ng kh\u00e1i ni\u1ec7m gi\u1edbi h\u1ea1n \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p h\u01a1n. Vi\u1ec7c n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c v\u1ec1 gi\u1edbi h\u1ea1n s\u1ebd gi\u00fap b\u1ea1n t\u1ef1 tin h\u01a1n trong c\u00e1c k\u1ef3 thi v\u00e0 \u0111\u1ea1t \u0111i\u1ec3m cao h\u01a1n.<\/p>\n<h3>L\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 c\u1ea3i thi\u1ec7n c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim, t\u00ednh gi\u1edbi h\u1ea1n?<\/h3>\n<p>Th\u1ef1c h\u00e0nh th\u01b0\u1eddng xuy\u00ean: T\u00ecm ki\u1ebfm c\u00e1c b\u00e0i t\u1eadp v\u00e0 l\u00e0m nhi\u1ec1u v\u00ed d\u1ee5 kh\u00e1c nhau \u0111\u1ec3 l\u00e0m quen v\u1edbi c\u00e1c d\u1ea1ng b\u00e0i.<\/p>\n<p>\u0110\u1ecdc t\u00e0i li\u1ec7u tham kh\u1ea3o: Tham kh\u1ea3o s\u00e1ch gi\u00e1o khoa v\u00e0 c\u00e1c ngu\u1ed3n t\u00e0i li\u1ec7u online v\u1ec1 gi\u1edbi h\u1ea1n trong gi\u1ea3i t\u00edch.<\/p>\n<p>Tham gia c\u00e1c kh\u00f3a h\u1ecdc online: C\u00e1c n\u1ec1n t\u1ea3ng nh\u01b0 Coursera, Khan Academy, hay edX cung c\u1ea5p nhi\u1ec1u kh\u00f3a h\u1ecdc ch\u1ea5t l\u01b0\u1ee3ng v\u1ec1 to\u00e1n h\u1ecdc v\u00e0 gi\u1ea3i t\u00edch.<\/p>\n<h2>L\u1eddi k\u1ebft<\/h2>\n<p>Tr\u00ean \u0111\u00e2y l\u00e0 h\u01b0\u1edbng d\u1eabn chi ti\u1ebft v\u1ec1 c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim, t\u00edch ph\u00e2n, \u0111\u1ea1o h\u00e0m v\u00e0 nguy\u00ean h\u00e0m, nh\u1eefng k\u1ef9 n\u0103ng quan tr\u1ecdng gi\u00fap b\u1ea1n ti\u1ebft ki\u1ec7m th\u1eddi gian v\u00e0 n\u00e2ng cao hi\u1ec7u su\u1ea5t l\u00e0m b\u00e0i trong c\u00e1c k\u1ef3 thi tr\u1eafc nghi\u1ec7m. Vi\u1ec7c n\u1eafm v\u1eefng c\u00e1ch s\u1eed d\u1ee5ng m\u00e1y t\u00ednh kh\u00f4ng ch\u1ec9 gi\u00fap b\u1ea1n t\u1ef1 tin h\u01a1n khi gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n kh\u00f3 m\u00e0 c\u00f2n gi\u00fap b\u1ea1n ghi \u0111i\u1ec3m cao h\u01a1n trong c\u00e1c b\u00e0i ki\u1ec3m tra to\u00e1n h\u1ecdc.<\/p>\n<p>Hy v\u1ecdng r\u1eb1ng v\u1edbi nh\u1eefng th\u00f4ng tin v\u00e0 v\u00ed d\u1ee5 c\u1ee5 th\u1ec3 trong b\u00e0i vi\u1ebft, b\u1ea1n s\u1ebd c\u1ea3m th\u1ea5y t\u1ef1 tin h\u01a1n trong vi\u1ec7c \u00e1p d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1ec1 gi\u1edbi h\u1ea1n, \u0111\u1ea1o h\u00e0m, t\u00edch ph\u00e2n v\u00e0 nguy\u00ean h\u00e0m v\u00e0o th\u1ef1c t\u1ebf. \u0110\u1eebng qu\u00ean th\u1ef1c h\u00e0nh th\u01b0\u1eddng xuy\u00ean v\u00e0 tham kh\u1ea3o th\u00eam t\u00e0i li\u1ec7u \u0111\u1ec3 c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c c\u1ee7a m\u00ecnh. Ch\u00fac b\u1ea1n th\u00e0nh c\u00f4ng trong c\u00e1c k\u1ef3 thi s\u1eafp t\u1edbi! \u0110\u1eebng qu\u00ean theo d\u00f5i Ho\u00e0ng H\u00e0 Mobile \u0111\u1ec3 kh\u00f4ng b\u1ecf l\u1ee1 b\u1ea5t k\u1ef3 b\u00e0i vi\u1ebft hay n\u00e0o. V\u00e0 \u0111\u1ec3 \u0111\u01b0\u1ee3c c\u1eadp nh\u1eadt ngay l\u1eadp t\u1ee9c v\u1ec1 nh\u1eefng th\u00f4ng tin h\u1eefu \u00edch nh\u1ea5t.<\/p>\n<p><strong>Xem th\u00eam:\u00a0<\/strong><\/p>\n<ul>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/hieu-dien-the-la-gi\/\">Hi\u1ec7u \u0111i\u1ec7n th\u1ebf l\u00e0 g\u00ec? K\u00fd hi\u1ec7u, c\u00f4ng th\u1ee9c, d\u1ee5ng c\u1ee5 \u0111o hi\u1ec7u \u0111i\u1ec7n th\u1ebf<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/nhiet-luong-la-gi\/\">Nhi\u1ec7t l\u01b0\u1ee3ng l\u00e0 g\u00ec? \u2013 C\u00f4ng th\u1ee9c t\u00ednh nhi\u1ec7t l\u01b0\u1ee3ng<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Trong c\u00e1c k\u1ef3 thi tr\u1eafc nghi\u1ec7m, c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim, t\u00edch ph\u00e2n, \u0111\u1ea1o h\u00e0m v\u00e0 nguy\u00ean h\u00e0m l\u00e0 k\u1ef9 n\u0103ng quan tr\u1ecdng gi\u00fap b\u1ea1n ti\u1ebft ki\u1ec7m th\u1eddi gian v\u00e0 \u0111\u1ea1t \u0111i\u1ec3m cao. Tuy nhi\u00ean, kh\u00f4ng ph\u1ea3i ai c\u0169ng n\u1eafm v\u1eefng c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh sao cho nhanh v\u00e0 \u0111\u00fang. B\u00e0i vi\u1ebft n\u00e0y s\u1ebd h\u01b0\u1edbng [&hellip;]<\/p>\n","protected":false},"author":100,"featured_media":396860,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16,412],"tags":[],"class_list":["post-394843","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-thu-thuat","category-thu-thuat-may-tinh"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>C\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim, t\u00edch ph\u00e2n, \u0111\u1ea1o h\u00e0m, nguy\u00ean h\u00e0m nhanh<\/title>\n<meta name=\"description\" content=\"H\u01b0\u1edbng d\u1eabn chi ti\u1ebft c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh t\u00ednh lim, t\u00edch ph\u00e2n, \u0111\u1ea1o h\u00e0m, nguy\u00ean h\u00e0m nhanh ch\u00f3ng v\u00e0 ch\u00ednh x\u00e1c cho b\u00e0i thi tr\u1eafc nghi\u1ec7m\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cach-bam-may-tinh-lim\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"C\u00e1ch b\u1ea5m m\u00e1y t\u00ednh lim, t\u00edch ph\u00e2n, \u0111\u1ea1o h\u00e0m, nguy\u00ean h\u00e0m thi tr\u1eafc nghi\u1ec7m\" \/>\n<meta property=\"og:description\" content=\"H\u01b0\u1edbng d\u1eabn chi ti\u1ebft c\u00e1ch b\u1ea5m m\u00e1y t\u00ednh t\u00ednh lim, t\u00edch ph\u00e2n, \u0111\u1ea1o h\u00e0m, nguy\u00ean h\u00e0m nhanh ch\u00f3ng v\u00e0 ch\u00ednh x\u00e1c cho b\u00e0i thi tr\u1eafc nghi\u1ec7m\" \/>\n<meta property=\"og:url\" content=\"https:\/\/hoanghamobile.com\/tin-tuc\/cach-bam-may-tinh-lim\/\" \/>\n<meta property=\"og:site_name\" content=\"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - 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