The sum of series $\frac{1}{2!} + \frac{1}{4!} + \frac{1}{6!}+...$ is

Question

( A ) $\frac{(e-1)^2}{2e}$
( B ) $\frac{(e^2-1)}{2e}$
( C ) $\frac{(e^2-2)}{e}$
( D ) $\frac{(e^2-1)}{2}$