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education/math/MATH1210 (calc 1)/Limits.md
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@ -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. | | 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.