# How do you find vertical, horizontal and oblique asymptotes for f(x) = (x+2 )/( 2x^2)?

Jun 15, 2016

$x = 0$ is the vertical asymptote and $y = 0$ is the horizontal asymptote, no oblique asymptotes

#### Explanation:

Domain is $x \ne 0$

and ${\lim}_{x \to 0} f \left(x\right) = \infty$

so $x = 0$ is the vertical asymptote

Then
${\lim}_{x \to \infty} f \left(x\right) = 0$

so $y = 0$ is the horizontal asymptote

no oblique asymptotes