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, \(e \approx 2.71828\).
by
Parth Lohomi