# Do you remember summer '09?

Calculus Level 4

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

Let $$m$$ be a constant positive number. Evaluate the limit above for integer $$n$$.

Clarification: $$e$$ denotes Euler's number, $$e \approx 2.71828$$.

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