The value of \( \lim _{n \rightarrow \infty}\left[\left(1+\frac{1}{...

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The value of
\( \lim _{n \rightarrow \infty}\left[\left(1+\frac{1}{n^{2}}\right)\left(1+\frac{2^{2}}{n^{2}}\right) \ldots \ldots . .\left(1+\frac{n^{2}}{n^{2}}\right)\right]^{1 / n} \) is
\( \mathrm{P} \)
(a) \( \frac{\mathrm{e}^{\pi / 2}}{2 \mathrm{e}^{2}} \)
(b) \( 2 \mathrm{e}^{2} \mathrm{e}^{\pi / 2} \)
(c) \( \frac{2}{\mathrm{e}^{2}} \mathrm{e}^{\pi / 2} \)
(d) 0
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