From 705bab4b9d8216d2758bc22ce93089eba6711e5a Mon Sep 17 00:00:00 2001 From: arc Date: Thu, 6 Mar 2025 09:09:22 -0700 Subject: [PATCH] vault backup: 2025-03-06 09:09:22 --- education/math/MATH1210 (calc 1)/Limits.md | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/education/math/MATH1210 (calc 1)/Limits.md b/education/math/MATH1210 (calc 1)/Limits.md index 400f4c0..f49ee84 100644 --- a/education/math/MATH1210 (calc 1)/Limits.md +++ b/education/math/MATH1210 (calc 1)/Limits.md @@ -77,5 +77,11 @@ Let $f$ be a continuous function on the interval $[a, b]$ and let $N$ be any num | Well behaved function | A function that is continuous, has a single value, and is defined everywhere. | +# L'Hospital's Rule +If you have a limit of the indeterminate form $\dfrac{0}{0}$, the limit can be found by taking the derivative of the numerator, divided by the derivative of the denominator. +$$ \lim_{x \to 2} \dfrac{x-2}{x^2-4} = \lim_{x \to 2} \dfrac{1}{2x}$$ +L'Hospital's Rule can also be used when both the numerator and denominator approach some form of infinity. +$$ $$ +L'Hospital's rule **cannot** be used in any other circumstance. \ No newline at end of file