### Home > PC3 > Chapter 13 > Lesson 13.1.2 > Problem13-23

13-23.

Sketch the graph of $f(x)=\frac{x^2-6x+10}{(x-3)^2}$. Then evaluate the following limits.

1. $\lim \limits_ { x \rightarrow \infty } f ( x )$

1. $\lim \limits_ { x \rightarrow 3 ^ { - } } f ( x )$

1. $\lim \limits_ { x \rightarrow 3 ^ { + } } f ( x )$

1. $\lim \limits_ { x \rightarrow - 3 } f ( x )$

1. What happens at $x = 3$

1. What happens at $x = −3$?

Complete the table in the eTool below.
Click the link at right for the full version of the eTool: 13-23 eTool