The value of _ n 1 n (n+1)(n+2)(n+3) (n+n) ^ 1/n is equal to

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The value of lim⁡n→∞1n{(n+1)(n+2)(n+3)⋯(n+n)}1/n\lim_{n\to\infty}\frac{1}{n}\left\{(n+1)(n+2)(n+3)\cdots(n+n)\right\}^{1/n} is equal to (1) 4e4e (2) e4\frac{e}{4} (3) 4e\frac{4}{e} (4) None of these

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