If function \( f(x)=\left\{\begin{array}{c}\frac{x^{2}-1}{x-1}, \te...

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If function \( f(x)=\left\{\begin{array}{c}\frac{x^{2}-1}{x-1}, \text { when } x \neq 1 \\ k, \text { when } x=1\end{array}\right. \) is continuous at \( x=1 \), then the value of \( k \) will be
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(1) \( -1 \)
(2) 2
(3) \( -3 \)
(4) \( -2 \)
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