# How do you find the vertical, horizontal and slant asymptotes of: #f(x) =(x^2 + 1) / (x - 2x^2)#?

##### 1 Answer

Dec 20, 2016

The vertical asymptotes are

No slant asymptote

The horizontal asymptote is

#### Explanation:

The domain of

As we cannot divide by

The vertical asymptotes are

As the degree of the numerator

We must calculate the limits as

The horizontal asymptote is

graph{(y-(x^2+1)/(x(1-2x)))(y+1/2)=0 [-28.86, 28.85, -14.43, 14.46]}