### Home > PC > Chapter 5 > Lesson 5.2.5 > Problem5-102

5-102.

Let $f ( x ) = \left\{ \begin{array} { l l } { 2 ^ { x } } & { \text { for } x < 2 } \\ { 4 } & { \text { for } x \geq 2 } \end{array} \right.$.

1. Find $\lim\limits_{x\rightarrow2} f ( x )$.

The limit must approach the same height from both sides in order to exist.

1. Find $\lim\limits_{x\rightarrow5} f ( x )$.

Which function do you use?