Let \( f: R \rightarrow R \) be such that \( f(1)=3 \) and \( f^{\prime}(1)=6 \).
Then, \( \lim ....
Let \( f: R \rightarrow R \) be such that \( f(1)=3 \) and \( f^{\prime}(1)=6 \).
\( \mathrm{P} \)
Then, \( \lim _{x \rightarrow 0}\left\{\frac{f(1+x)}{f(1)}\right\}^{1 / x} \) equals
(1) 1
(2) \( e^{1 / 2} \)
(3) \( e^{2} \)
(4) \( e^{3} \)
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