For which values of xxx does the infinite geometric series ∑n=0∞(sinx)n\sum_{n=0}^{\infty} (\sin x)^n∑n=0∞(sinx)n converge?
x≠π2+kπx \neq \frac{\pi}{2} + k\pix=2π+kπ
x=kπx = k\pix=kπ
∣sinx∣<1|\sin x| < 1∣sinx∣<1
x∈Rx \in \mathbb{R}x∈R