If \( f(x)=\left\{\begin{array}{ll}x^{2}+1 & x \geq 1 \\ 3 x-1 & x1\end{array}\right. \) then th...

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If \( f(x)=\left\{\begin{array}{ll}x^{2}+1 & x \geq 1 \\ 3 x-1 & x1\end{array}\right. \) then the value of \( \lim _{x \rightarrow 1} f(x) \) is
(a) 1
(b) 2
(c) 3
(d) Does not exist
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