# How do you find the horizontal asymptote for #f(x) = (3x^2 + 2x - 1) / (x + 1)#?

##### 1 Answer

You evaluate the limits of the function as x approaches infinities (

There are no horizontal asymptotes in this function.

#### Explanation:

Horizontal asymptote means that it approches a certain value of **possible** asymptotes of the function must be constant functions and can be calculated with the following way:

**Possible horizontals**

If

**Solution**

Solving the numerator:

The two solutions are

So the numerator can be written as follows:

The two limits are now easier to find:

Since neither