# How do you find vertical, horizontal and oblique asymptotes for #(2x^2 + 5x) /( x - 2)#?

##### 1 Answer

#### Answer:

Vertical asymptote:

No horizontal asymptote

Oblique asymptote:

#### Explanation:

**Vertical asymptotes:** we must look for points in which the function is not defined. In this case, the point is

which is undefined.

**Horizontal asymptotes:** we can look for horizontal asymptotes, since the domain is unbounded. If they exist, they are given by

**Oblique asymptotes:** we can look for oblique asymptotes, since the function diverges. Here's the theory: if

If we divide both sides by

since

So, if

Let's do it!