Wednesday 30 April 2014

calculus - What is the limit $ underset{ntoinfty}{lim} frac {{n!}^{1/n}}{n} $

What is the following limit equal to and how do I prove it?




$$ \underset{n\to\infty}{\lim} \frac {{n!}^{1/n}}{n}. $$




I've been trying for a while and I can't seem to get it.

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