$f ( x ) = \left\{ \begin{array} { c }
x ^ { 2 } \text { if } x

Question

$f ( x ) = \left\{ \begin{array} { c } 
x ^ { 2 } \text { if } x < 3 \
2 x + 2 \text { if } x \geq 3
\end{array} \right.$ Find $\lim _ { x \rightarrow 3 } f ( x )$ if it exists. Otherwise, explain by one-sided limits.

Quizplus · Accepted Answer

The Answer of $f ( x ) = \left\{ \begin{array} { c } 
x ^ { 2 } \text { if } x < 3 \
2 x + 2 \text { if } x \geq 3
\end{array} \right.$ Find $\lim _ { x \rightarrow 3 } f ( x )$ if it exists. Otherwise, explain by one-sided limits.

f(x)={x2 if x<32x+2 if x≥3f ( x ) = \left\{ \begin{array} { c } x ^ { 2 } \text { if } x < 3 \\2 x + 2 \text { if } x \geq 3\end{array} \right.f(x)={x2 if x<32x+2 if x≥3​

$f ( x ) = \left\{ \begin{array} { c } x ^ { 2 } \text { if } x < 3 \\2 x + 2 \text { if } x \geq 3\end{array} \right.$