Ʃ 4/(n(n+2)) from n=1 to n=infinity
The Attempt at a Solution
I tried using partial fractions to get A/n + B/(n+2), and I solved for A and B to get A=2 and B=-2
I tried summing them up, so everything would cancel except the first & last term, but nothing cancels.
I'm not sure of any other methods for finding sums or if I'm not just using this one wrong.