# The Monstrous Limit

Calculus Level 4

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

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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