$ \sum_{n = 1}^\infty n \tan \frac{1}{n} $
I'm fairly certain that this can't be integrated. I tried finding a sum with terms greater than this one that converged, but haven't had any luck. Any thoughts or hints? --John Mason
Yeah, don't try to integrate it. Use the nth term test instead. That will be much more effective. :) I tried to go through the whole integrating thing too and it got me nowhere. Then I looked at the terms of the sequence and realized I could use the nth term test. His Awesomeness, Josh Hunsberger
