Compute $\lim_{n \rightarrow \infty} \ln \frac{n!}{n^n}$

I'd like to compute the limit

\[\lim_{n \rightarrow \infty} \ln \frac{n!}{n^n}.\]

I know I should be using Reimann sums to do it, but I am not sure how. Thanks. 


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Erdos Erdos
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