If \( f(x)=\left\{\begin{array}{c}x^{2}, \text { when } x \leq 1 \\...

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If \( f(x)=\left\{\begin{array}{c}x^{2}, \text { when } x \leq 1 \\ x+5, \text { when } x1\end{array}\right. \), then
(1) \( f(x) \) is continuous at \( x=1 \)
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(2) \( f(x) \) is discontinuous at \( x=1 \)
(3) \( \lim _{x \rightarrow 1} f(x)=1 \)
(4) \( \lim _{x \rightarrow 1} f(x)=2 \)
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