### Home > PC > Chapter 5 > Lesson 5.2.5 > Problem5-100

5-100.

Let $f(x) = \left\{ \begin{array} { l } { x ^ { 2 } - 3 \quad\text {for } x \leq 2 } \\ { 5 - x \quad\ \text { for } x > 2 } \end{array} \right.$.

1. Find $\lim\limits _ { x \rightarrow 2 ^ { + } } f ( x )$

As $x→2$ from the right (positive) side, what height does the graph approach?

1. Find $\lim\limits _ { x \rightarrow 2 ^ { - } } f ( x )$

As $x→2$ from the left (negative) side, what height does the graph approach?

1. Find $\lim\limits _ { x \rightarrow 2 } f ( x )$ or explain why it does not exist.

Are the limits from the left and right sides approaching the same value?