\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(f : \mathbb{R} \to \mathbb{R}\) continuous at \(0\), and \(u_n \in \mathbb{R}\) with \(u_n \to 0\). Show that \(f(u_n) \to f(0)\).
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