Prove: $\lim _{n\to \infty }\left(\sqrt[n]{\frac{n!}{n^n}}\right)=\frac{1}{e}$
I tried to do some algebraic manipulations and squeeze it but couldn't get further.
Any help appreciated.
2026-04-01 13:47:52.1775051272
Prove: $\lim _{n\to \infty }\left(\sqrt[n]{\frac{n!}{n^n}}\right)=\frac{1}{e}$
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