Find the Values of X for Which the Geometric Series $\sum_{n=0}^{\infty}|\sin 5 x|^{n}$

question 56

Multiple Choice

Find the values of x for which the geometric series converges.
- $\sum_{n=0}^{\infty}|\sin 5 x|^{n}$

• A) \(\{ x \mid x\) is not a multiple of \(2 \pi \rangle\)
• B) diverges for all x
• C) \(\{ x \mid x\) is not a multiple of \(\frac{\pi}{10} \rangle\)
• D) -\(\infty\)< x <\(\infty\)

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