Evaluate the following Limits: _ x 0 [5^x-1 x ] - Vidyadip

Question

Evaluate the following Limits:

$\lim _{x \rightarrow 0}\left[\frac{5^x-1}{x}\right]$

✓

Answer

$\lim _{x \rightarrow 0} \frac{5^x-1}{x}=\log 5 \quad \ldots\left[\lim _{x \rightarrow 0} \frac{\mathrm{a}^x-1}{x}=\log \mathrm{a}\right]$

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