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December 28th, 2017, 02:41 PM   #1
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How to solve limit

$\displaystyle \lim _{n \rightarrow \infty} \frac{n}{\sqrt[n]{n!}} $
$\displaystyle n\in N$
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December 28th, 2017, 04:51 PM   #2
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If you're allowed to use Stirling's formula, it's straightforward to show that the limit is $e$.
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