\( \lim _{x \rightarrow 0} \frac{a^{x}-1}{\sqrt{1+x}-1} \) is equal...

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\( \lim _{x \rightarrow 0} \frac{a^{x}-1}{\sqrt{1+x}-1} \) is equal to
\( \mathrm{P} \)
(a) \( 2 \log _{e} a \)
(b) \( \frac{1}{2} \log _{e} a \)
(c) \( a \log _{e} 2 \)
(d) None of these
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