Find the Sum of the Geometric Series for Those X$$\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { 7 } \frac { 1 } { ( 3 + \sin x ) ^ { n } }$$

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The Answer of Find the Sum of the Geometric Series for Those X$$\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { 7 } \frac { 1 } { ( 3 + \sin x ) ^ { n } }$$

Find the Sum of the Geometric Series for Those X $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { 7 } \frac { 1 } { ( 3 + \sin x ) ^ { n } }$

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Find the Sum of the Geometric Series for Those X ∑n=0∞(−1)n71(3+sin⁡x)n\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { 7 } \frac { 1 } { ( 3 + \sin x ) ^ { n } }n=0∑∞​7(−1)n​(3+sinx)n1​

Definitions:

Find the Sum of the Geometric Series for Those X $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { 7 } \frac { 1 } { ( 3 + \sin x ) ^ { n } }$