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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