vault backup: 2025-03-06 09:24:22
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@ -89,4 +89,5 @@ L'Hospital's rule **cannot** be used in any other circumstance.
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## Examples
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## Examples
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1. $\lim_{x \ to 0} \dfrac{7^x - 5^x}{2x}$
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1. $\lim_{x \ to 0} \dfrac{7^x - 5^x}{2x}$
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2. $= \lim_{x \ to 0}
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2. $= \lim_{x \ to 0}\dfrac{7^x \ln(7) -5^x(\ln(5)}{2}$
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3. $= \dfrac{\ln(7) - \ln(5)}{2}$
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