### Home > PC > Chapter 8 > Lesson 8.1.2 > Problem8-26

8-26.

Sketch the graph of $f(x)=\frac{x^2-6x+10}{(x-3)^2}$. If you do not have a graphing calculator, think about what happens when $x$ approaches $∞$ and $–∞$. What happens when $x$ gets close to $3$. You can try numbers close to $3$ (like $3.001$) to get an idea. 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.
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