\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(f : \mathbb{R} \to \mathbb{R}\) admit a finite limit \(\ell\) at \(0\). Show that there exists \(\delta > 0\) such that \(|f(x)| \le |\ell| + 1\) for all \(x \in [-\delta, \delta]\).
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