Limit :- \(n!\), \(n^n\) and \(\frac {1}{n}\)

Calculus Level 3

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

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