\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(f, g : \mathbb{R} \to \mathbb{R}\) admit finite limits \(\ell, m\) at \(0\), with \(f(x) \le g(x)\) for all \(x \ne 0\). Show that \(\ell \le m\).
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