Find the Taylor Series for the Given Function at the Indicated

Find the Taylor series for the given function at the indicated point $x = a \text {. }$ $f ( x ) = e ^ { 2 x } + e ^ { - 2 x }$ ; a = 0

A) $\sum _ { n = 0 } ^ { \infty } \frac { 2 \left( 2 ^ { 2 n } \right) } { ( 2 n ) ! } x ^ { 2 n }$
B) $\sum _ { n = 0 } ^ { \infty } \frac { 2 \left( 2 ^ { n } \right) } { n ! } x ^ { 2 n }$
C) $\sum _ { n = 0 } ^ { \infty } \frac { 2 \left( 2 ^ { 2 n + 1 } \right) } { ( 2 n + 1 ) ! } x ^ { 2 n + 1 }$
D) $\sum _ { n = 0 } ^ { \infty } \frac { 2 \left( 2 ^ { n } \right) } { n ! } x ^ { n }$