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I've been studying limits and stumbled across two problems I'm stumped on. Could anyone help out with either one or both of these? Would be greatly appreciated. $$\lim_{x \to 5^+} \frac{e^x}{(5-x)^5}$$

$$\lim_{x \to 10^+} \ln (100 - x^2)$$

(Hope I did the text thing right. This is my first post on this site :/ )

Thanks in advance :)

Helpmeplsty
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1 Answers1

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$$1. ~\lim_{x \to 5^+} \frac{e^x}{(5-x)^5} = \frac{\to e^5}{ \to 0^-}\longrightarrow \boxed{-\infty}$$

$$2. ~\lim_{x \to 10^+} \ln (100 - x^2) =\ln (\to 0^-) = \boxed{\text{Not defined!}} $$

(Since domain of $\ln (x)$ is $x>0$)

Jaideep Khare
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