# How do you find the Vertical, Horizontal, and Oblique Asymptote given #2 /(x^2 + x -1)#?

##### 1 Answer

Nov 4, 2016

The vertical asymptotes are

The horizontal asymptote is

#### Explanation:

Let's find the roots of the denominator

So the roots are

As we cannot divide by

The limit of the expression as

So the horizontal asymptote is

And as the degree of the numerator is less than the degree of the denominator, ther is no oblique asymptote

graph{2/(x^2+x-1) [-11.25, 11.25, -5.62, 5.62]}