# Does the series arctan n converge?

by Bazzinga
Tags: arctan, converge, series
 P: 42 I'm sure it doesn't, but how do I find out? $$\sum^{infinity}_{n=1} arctan (n)$$ I thought about using the integral test, but it's not decreasing. Any hints? Could I somehow use proof by induction to show that its an increasing function?
 Mentor P: 18,331 What is $$\lim_{n\rightarrow +\infty}{arctan(n)}$$?? Does this tell you something about convergence?