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

##### 1 Answer

The vertical asymptote is

The oblique asymptote is

No horizontal asymptote

#### Explanation:

The domain of

As we cannot divide by

Therefore,

The vertical asymptote is

As the degree of the numerator is

Let's do a long division

So,

Now we calculate the limits

So,

The oblique asymptote is

graph{(y-(x^2)/(x-2))(y-x-2)=0 [-28.86, 28.86, -14.44, 14.44]}