Converging trigonometric result – math.stackexchange.com

Consider the sequence $f_n(x)$ defined by $f_0(x) = \sin x$, $f_1(x) = \cos \sin x$, $f_2(x) = \sin\cos\sin x$, and so on. One can check that $f_n(x)$ converges to a constant, say $N_p$. My question ...

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