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 December 28th, 2017, 02:41 PM #1 Senior Member   Joined: Dec 2015 From: Earth Posts: 274 Thanks: 31 How to solve limit $\displaystyle \lim _{n \rightarrow \infty} \frac{n}{\sqrt[n]{n!}}$ $\displaystyle n\in N$
 December 28th, 2017, 04:51 PM #2 Global Moderator   Joined: Dec 2006 Posts: 19,974 Thanks: 1850 If you're allowed to use Stirling's formula, it's straightforward to show that the limit is $e$.

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