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Assertion (A): यदि \( a_{1}, a_{2}, \ldots, a_{n}0 \) हो, तो
\[
\lim _{x \rightarrow \infty}\left(\frac{a_{1}^{\frac{1}{x}}+a_{\frac{x}{2}}^{\frac{1}{x}}+\ldots+a_{n}^{\frac{1}{x}}}{n}\right)^{n x}=a_{1} a_{2} \ldots a_{n}
\]
Reason (R): यदि \( \lim _{\substack{\left.x \rightarrow a \\ \lim _{g(x)} f(x)-1\right)}} f(x)=1, \quad \lim _{x \rightarrow a} g(x)=\infty \) हो, तो
\[
\lim _{x \rightarrow a}\{f(x)\}^{e(x)}=e^{x}
\]
(A) Both A and R are true and R is the correct explanation of A.br(B) Both A and R are true, but R is not the correct explanation of A.
(C) A is true, but R is false.
(D) A is false, but R is true.
(E) Both A and R are false.
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