# In(x)/(1+exp(x)) from 2 to ∞?

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

## Answers and Replies

nicksauce
Science Advisor
Homework Helper
What is this function In(x)? Do you mean ln(x)? Assuming so, I think you can do a simple comparison test:

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.