Absolute Convergence Tests for Series with Arctan and Alternating Signs

[vigintitres]

Homework Statement

so this one says the sum of the series starting at n = 1 to inf. of ((-1)^n)arctan(n)/(n^2)

Homework Equations

Either a ratio test or just an abs. conv. test

The Attempt at a Solution

not sure how to play this one out, honestly. I see some semblance of hope shimmering there but I am not strong enough to reach for it... *tear

 

[Dick]

Go for absolute convergence. |arctan(n)| is bounded, right? Compare it with a p-series.