Finding value of $\lim_{n\rightarrow \infty}\sin(\sin(\sin(.......(\sin \left(\frac{\pi}{2}\right))))$
Attempt: $\displaystyle \sin(\frac{\pi}{2})=1$
so $\displaystyle \sin(\sin \frac{\pi}{2})= \sin(1)$
could some help me how to solve it,thanks
Finding value of $\lim_{n\rightarrow \infty}\sin(\sin(\sin(.......(\sin \left(\frac{\pi}{2}\right))))$
Attempt: $\displaystyle \sin(\frac{\pi}{2})=1$
so $\displaystyle \sin(\sin \frac{\pi}{2})= \sin(1)$
could some help me how to solve it,thanks