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December 28th, 2017, 01:41 PM  #1 
Senior Member Joined: Dec 2015 From: Earth Posts: 239 Thanks: 27  How to solve limit
$\displaystyle \lim _{n \rightarrow \infty} \frac{n}{\sqrt[n]{n!}} $ $\displaystyle n\in N$ 
December 28th, 2017, 03:51 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,527 Thanks: 1750 
If you're allowed to use Stirling's formula, it's straightforward to show that the limit is $e$.


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