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

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

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

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Lord Shark the Unknown, Claude Leibovici, Mostafa Ayaz, Jimmy R., Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.

locked by Jyrki Lahtonen Mar 19 '18 at 17:32

This question is locked in view of our policy about contest questions. Questions originating from active contests are locked for the duration of the contest, with answers hidden from view by soft-deletion. Please see the comments below for references to the originating contest.

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  • $\begingroup$ A flagger thinks this is a current problem. Not sure this would make it a (prohibited) contest problem, most likely it would... So, give a link to the source, please. $\endgroup$ – Jyrki Lahtonen Mar 19 '18 at 6:18
  • 2
    $\begingroup$ It's problem 12011 from the December 2017 issue. The deadline for solutions is 30 April 2018. $\endgroup$ – Lord Shark the Unknown Mar 19 '18 at 10:27
  • $\begingroup$ Thanks @LordSharktheUnknown. Locking. $\endgroup$ – Jyrki Lahtonen Mar 19 '18 at 17:32