Find the Values of X for Which the Geometric Series $$\sum _ { \mathrm { n } = 0 } ^ { \infty } \frac { ( - 1 ) ^ { \mathrm { n } } } { 6 } \frac { 1 } { ( 8 + \sin \mathrm { x } ) ^ { \mathrm { n } } }$$

question 20

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { \mathrm { n } = 0 } ^ { \infty } \frac { ( - 1 ) ^ { \mathrm { n } } } { 6 } \frac { 1 } { ( 8 + \sin \mathrm { x } ) ^ { \mathrm { n } } }$$

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

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