\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Show that \(f(x) = \dfrac{x^2 - 1}{x - 1}\) for \(x \ne 1\) admits a continuous extension at \(1\). Give the value \(\tilde{f}(1)\).
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