\( \lim _{n \rightarrow \infty}\left(\log _{(n-1)} n \cdot \log _{n}(n+1) \cdot \log _{(n+1)}(n+...

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\( \lim _{n \rightarrow \infty}\left(\log _{(n-1)} n \cdot \log _{n}(n+1) \cdot \log _{(n+1)}(n+2) \ldots\right. \)
(A) \( \infty \)
(B) \( n \)
(C) k
(D) none of these
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