# Try This Sum

Calculus Level 5

$\large\sum_{n=2}^{\infty}\frac{{e}^{-2n}}{{n}^{2}-1}$

Consider the infinite sum above. If the solution can be expressed in the form $\frac{1}{A}\left(1+\frac{{e}^{-B}}{C}\right)+\sinh{(D)}\ln{(1-{e}^{-E})}$

find $$A\times B\times C\times D\times E.$$

×