I'm sure it doesn't, but how do I find out? [tex]\sum^{infinity}_{n=1} arctan (n)[/tex] 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?
What is [tex]\lim_{n\rightarrow +\infty}{arctan(n)}[/tex]?? Does this tell you something about convergence?