Evaluate the series ∑n=1∞1(2n−1)(2n+1)\sum_{n=1}^{\infty} \frac{1}{(2n-1)(2n+1)}∑n=1∞(2n−1)(2n+1)1 using partial fractions decomposition.
14\frac{1}{4}41
12\frac{1}{2}21
111
Diverges to ∞\infty∞