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

##### 1 Answer
Dec 6, 2015

Look at the coefficients on the variables with the greatest exponents for both the numerator and denominator ...

#### Explanation:

Numerator : highest exponent is 1 $\left(1 {x}^{1}\right)$and the coefficient is also 1.

Denominator : highest exponent is 3 $\left(1 {x}^{3}\right)$ and the coefficient is 1

So we have $\frac{1 x}{1 {x}^{3}}$. As $x \rightarrow \infty$, this rational function goes to zero .

Therefore, horizontal asymptote is $y = 0$

hope that helped