?

Free Version
Difficult

# Convergence of a Trigonometric Sum

APCALC-BJBCUE

For which values of $x$ on the interval $(0, \pi)$ will the series below converge?

$$\sum _{ n=1 }^{ \infty }{ ( \sin { x } ) ^{ n } }$$

A

$(0, \pi)$

B

$(0,\cfrac{\pi}{2})$ or $(\cfrac{\pi}{2},\pi)$

C

$(0, \cfrac{\pi}{2})$

D

$(\cfrac{\pi}{2},\pi )$