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## Homework Statement

Determine if the following series converges or diverges. If it converges determine its sum.

Ʃ1/(i

^{2}-1) where the upper limit is n and the index i=2

## Homework Equations

The General Formula for the partial sum was given:

S

_{n}=Ʃ1/(i

^{2}-1)=3/4-1/(2n)-1/(2(n+1)

## The Attempt at a Solution

I have no idea where to start. I tried to get the General Formula, but I am really confused as to how to even start. I tried to split the function with partial fractions and somehow got 1/(2(i+1))-1/(2(i-1))