Consider the following function. $$f ( x ) = \left\{ \begin{array} { c c }
3 - x & x

Question

Consider the following function. $$f ( x ) = \left\{ \begin{array} { c c } 
3 - x & x < - 1 \
x & - 1 \leq x < 3 \
( x - 3 ) ^ { 2 } & x \geq 3
\end{array} \right.$$
Determine the values of $a$ for which $\lim _ { x \rightarrow a } f ( x )$ exists.

Quizplus · Accepted Answer

The Answer of Consider the following function. $$f ( x ) = \left\{ \begin{array} { c c } 
3 - x & x < - 1 \
x & - 1 \leq x < 3 \
( x - 3 ) ^ { 2 } & x \geq 3
\end{array} \right.$$
Determine the values of $a$ for which $\lim _ { x \rightarrow a } f ( x )$ exists.

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

Consider the Following Function $f ( x ) = \left\{ \begin{array} { c c } 3 - x & x < - 1 \\x & - 1 \leq x < 3 \\( x - 3 ) ^ { 2 } & x \geq 3\end{array} \right.$