Find the Values of X for Which the Geometric Series $$\sum _ { n = 0 } ^ { \infty } | \sin 4 x | ^ { n }$$

question 396

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { n = 0 } ^ { \infty } | \sin 4 x | ^ { n }$$

• A) \(- \infty < x < \infty\)
• B) \(\{ x \mid x\) is not a multiple of \(\pi \}\)
• C) \(\{ x \mid x\) is not an odd multiple of \(\pi / 8 \}\)
• D) diverges for all \(x\)

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