A calculus problem by Jose Sacramento

Calculus Level 5

lim⁡n→∞n(n+1)(n+2)⋯(n+n)nn= ? \large \lim_{n\to\infty} \dfrac{ \sqrt[n]{ n(n+1)(n+2) \cdots (n+n)} }{n} = \, ?

Give your answer to 3 decimal places.

Jose Sacramento by Jose Sacramento
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