Just try to post my first problem
Calculus
Level
1
For each positive integer \(n\), let
\[ f^n (x) = \sin ( f^{n-1} (x) ), \]
with \( f^0 (x) = x \).
Let \( y(x) = \lim_{n \rightarrow \infty } f^n(x) \).
Determine \( y'(0) \).
by
Andronikus Lumembang