\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(f : \mathbb{R} \to \mathbb{R}\) defined by \(f(x) = x^2 \sin(1/x)\) if \(x \ne 0\) and \(f(0) = 0\). Show that \(f\) is continuous at \(0\).
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