The Monstrous Limit

Calculus Level 3

\[ \large \displaystyle \lim_{n \to \infty} \left( \dfrac{n!}{n^n} \right)^{1/n} \]

Find the limit to 3 decimal places.

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


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