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Calculus Level 4

Let f(x)=cosxf(x)=\cos x. For all real numbers xx, find limn(fffn times)(x).\lim_{n \rightarrow \infty}(\underbrace{f \circ f \circ \cdots \circ f}_{n\text{ times}})(x).

Express your answer to 5 decimal places.

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