<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">Nechť $f_n (x) = \lim_{m \to +\infty}\cos^{m}(2\pi n! \,x),
\, \\ x \in \Bbb R.$
Spočtěte: $f(x) = \lim_{n\to +\infty} f_n(x).$
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