Find the Values of X for Which the Geometric Series $$\sum _ { \mathrm { n } = 0 } ^ { \infty } \frac { ( - 1 ) ^ { \mathrm { n } } } { 5 } \frac { 1 } { ( 8 + \sin \mathrm { x } ) ^ { \mathrm { n } } }$$

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { \mathrm { n } = 0 } ^ { \infty } \frac { ( - 1 ) ^ { \mathrm { n } } } { 5 } \frac { 1 } { ( 8 + \sin \mathrm { x } ) ^ { \mathrm { n } } }$$

A) diverges for all $x$
B) $- \infty < x < \infty$
C) $\{ x \mid x$ is not a multiple of $\pi \rangle$
D) $\{ x \mid x$ is not a multiple of $2 \pi \rangle$