The Monstrous Limit

Calculus Level 3

limn(n!nn)1/n \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!=1×2×3××88! = 1\times2\times3\times\cdots\times8 .


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