$$\lim_{n \to \infty} \left( \frac{1}{n!} \int_0^\infty \int_0^\infty \frac{x^n-y^n}{e^x-e^y} \ dy \ dx -2n \right)$$
I cannot solve this question by myself anymore. I want to know how to solve this limit.
2026-03-25 04:37:58.1774413478
How can I solve this limit?(From AMM)
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