# Limit :- $$n!$$, $$n^n$$ and $$\frac {1}{n}$$

Calculus Level 3

$\large\displaystyle \lim_{n\to\infty}\left(\frac{n!}{n^n}\right)^{\frac{1}{n}} = \,?$


Notation: $$!$$ is the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.

×