$\displaystyle

\sum\frac{e^n}{1+e^{2n}}$. i don't know how to add the number of the sum, but it's 1 to $\displaystyle \infty$. it's a decreasing series, but i can't find the integral.

it looks like it may turn into $\displaystyle \frac{\infty}{\infty}$ using l'hopital's rule and i just don't know what to do with it.