vault backup: 2025-03-06 09:34:22

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arc 2025-03-06 09:34:22 -07:00
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@ -90,4 +90,6 @@ L'Hospital's rule **cannot** be used in any other circumstance.
## Examples
1. $\lim_{x \ to 0} \dfrac{7^x - 5^x}{2x}$
2. $= \lim_{x \ to 0}\dfrac{7^x \ln(7) -5^x(\ln(5)}{2}$
3. $= \dfrac{\ln(7) - \ln(5)}{2}$
3. $= \dfrac{\ln(7) - \ln(5)}{2}$
# Indeterminate form $(0 * \infty)$
If the $\lim_{x \to a}f(x) = 0$ and $\lim_{x\to a} g(x) = \infty$ then $\lim_{x \to a}(f(x) * g(x)$