infinite


breaking down an expression into partial fractions


I am trying to find the limit of an infinite series given as
1/(n^2-1)
I came across the following general term of the sequence of partial sums
3/4-(1/2n)-1/(2(n+1)
I would appreciate assistance to understand how this expression is arrived at.
I have tried breaking down the original expression into partial fractions, but cannot get to the given result.

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