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I know that we should change this into taylor series form and integrate, but I don't know how exactly it is done. Can someone show me the precise steps that are taken?

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    https://en.wikipedia.org/wiki/Sophomore%27s_dream, https://math.stackexchange.com/q/237513/42969 – Martin R Nov 02 '20 at 16:57
  • Why do you think it should be done with a Taylor series? Also, a Taylor series in what? @MartinR's links show how to do it with a Taylor series of sorts, but in $x\ln x$, not $x$. – J.G. Nov 02 '20 at 17:07

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