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, $8! = 1\times2\times3\times\cdots\times8$ .

Limit :- n!n!n!, nnn^nnn and 1n\frac {1}{n}n1​