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determine whether the integral In(x)/(1+exp(x)) from 2 to ∞? converges or diverges?

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determine whether the integral In(x)/(1+exp(x)) from 2 to ∞? converges or diverges?

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nicksauce

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0 < ln(x) / (1+exp(x)) < x / (1+exp(x)) < x / exp(x)

And it's fairly easy to show the integral of x/exp(x) converges.

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