# How do you find the asymptotes for #G(x) = (x-1)/(x-x^3)#?

##### 1 Answer

Nov 23, 2016

There is a hole at

The vertical asymptotes are

No oblique asymptote.

The horizontal asymptote is

#### Explanation:

Let's factorise the numerator and denominator

So,

There is a hole at

As we cannot divide by

so,

Therefore,

As the degree of the numerator is

For the limits, we take the terms of highest degree-

Therefore,

graph{(x-1)/(x(1-x^2)) [-18.16, 13.88, -7.75, 8.27]}