Find the Sum of the Geometric Series for Those X $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } ( 8 x ) ^ { 2 n }$$

Multiple Choice

Find the sum of the geometric series for those x for which the series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } ( 8 x ) ^ { 2 n }$$

A) $\frac { 1 } { 1 - 64 x ^ { 2 } }$
B) $\frac { 64 } { 1 + 64 x ^ { 2 } }$
C) $\frac { 8 } { 1 + 64 x ^ { 2 } }$
D) $\frac { 1 } { 1 + 64 x ^ { 2 } }$