Does the series from n=1 to infinity of (2)/(n^2-1) converge or diverge? If it converges, find the sum.
The Attempt at a Solution
I can see right away that the series converges by a limit comparison test by looking at the series. However, to find the sum I have re-write that as a geometric series. There is nothing, at least to me, that gives away how to re-write that as a geometric series. That's where I'm stuck.
Thanks for any help.