Discuss the continuity of the following functions at the indicated ...

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Discuss the continuity of the following functions at the indicated point(s):
\[
f(x)=\left\{\begin{array}{cc}
\frac{\left|x^{2}-1\right|}{x-1}, & \text { for } x \neq 1 \\
2, & \text { for } x=1
\end{array} \quad \text { at } x=1\right.
\]
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