The value of \( \lim _{n \rightarrow \infty} \sum_{K=1}^{n} \log \left(1+\frac{K}{n}\right)^{1 /...

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The value of \( \lim _{n \rightarrow \infty} \sum_{K=1}^{n} \log \left(1+\frac{K}{n}\right)^{1 / n} \) is
(a) \( \log _{\theta}\left(\frac{e}{4}\right) \)
(b) \( \log _{\theta}\left(\frac{4}{e}\right) \)
(c) \( \log _{\theta} 4 \)
(d) None of these
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