# How do you find the asymptotes for 2/(x-3)?

Jan 26, 2016

Vertical asymptote: $x = 3$
Horizontal asymptote: y=0#

#### Explanation:

$\frac{2}{x - 3}$ is defined for all values of $x$ except $x = 3$
therefore $x = 3$ is an asymptote.

As $x \rightarrow \pm \infty$
$\textcolor{w h i t e}{\text{XXX}} y \rightarrow 0$
therefore $y = 0$ is a horizontal asymptote.