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Consider the Following Function f(x)={3−xx<−1x−1≤x<3(x−3)2x≥3f(x)=\left\{\begin{array}{cc}3-x & x<-1 \\x & -1 \leq x<3 \\(x-3)^{2} & x \geq 3\end{array}\right.

Question 80

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Consider the following function. f(x)={3−xx<−1x−1≤x<3(x−3)2x≥3f(x)=\left\{\begin{array}{cc}3-x & x<-1 \\x & -1 \leq x<3 \\(x-3)^{2} & x \geq 3\end{array}\right. Determine the values of a for which lim⁡x→af(x)\lim _{x \rightarrow a} f(x) exists.

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