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Competitive Stats
Q62Section C (Part C)62 of 120

Limit of a geometric mean of n+1,…,2nn+1,\dots,2n over nn

What is the value of the limit

lim⁡n→∞1n[(n+1)(n+2)⋯(n+n)]1/n?\lim_{n\to\infty}\frac1n\big[(n+1)(n+2)\cdots(n+n)\big]^{1/n} ?

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