$\forall n\in \mathbb N$, Let $$f_n (x)=\underbrace{\cos(\cos(\cos(\cdots (\cos}_n(x\underbrace{))\cdots)}_n$$ It is known that $$\forall x\in\mathbb R,\space \lim_{n\rightarrow\infty}f_n(x)=0.7390851332\dots$$Does the convergence uniform?
2026-03-25 01:21:18.1774401678
$\cos(\cos(\cdots(\cos(x))\cdots))$
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