# How can I solve this limit?(From AMM) [closed]

$$\lim_{n \to \infty} \left( \frac{1}{n!} \int_0^\infty \int_0^\infty \frac{x^n-y^n}{e^x-e^y} \ dy \ dx -2n \right)$$

I cannot solve this question by myself anymore. I want to know how to solve this limit.

## closed as off-topic by Lord Shark the Unknown, Claude Leibovici, Mostafa Ayaz, Jimmy R., ShaileshMar 19 '18 at 11:33

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## locked by Jyrki LahtonenMar 19 '18 at 17:32

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