arctan(n+1) - arctan(n+2) where n varies from 0 to infinity
I'm having trouble figuring out this problem. I've calculated the first 5 terms of the series and ended up with the following:
-.0.32175 - 0.14189 - 0.07677 - 0.07677 - 0.04758 ......
To me, it is apparent that the series is converging on some number (perhaps -1?) however, I'm not sure how to prove this. Any help is appreciated!