\[ \lim _{x \rightarrow \infty}\left(\frac{e^{\pi / x}+e^{-\pi / x}}{\cos (\pi / x)}\right)^{x^{...

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\[
\lim _{x \rightarrow \infty}\left(\frac{e^{\pi / x}+e^{-\pi / x}}{\cos (\pi / x)}\right)^{x^{2}}
\]
(a) \( -e^{\pi^{2}} \)
(b) \( e^{\pi^{2}} \)
(c) \( e^{-\pi^{2}} \)
(d) \( e^{\pi} \)
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