# Math Help - Comparison Theorem Help

1. ## Comparison Theorem Help

I have a calculus problem that I just can't seem to figure out...

We are asked to prove that the integral ∫((arctanx)/e^x) from 0 to ∞ converges by using the comparison theorem. I understand the comparison theorem, but I don't understand what integral to pick to compare it to... do I pick at random, or is there a method to solving it?

You know that $\int_0^\infty {\frac{{dx}}{{e^x }}} = 1$.
Also take notice that $\arctan (x) < \frac{\pi }{2}$.