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

Jan 29, 2016

horizontal asymptote is y = 1

#### Explanation:

A horizontal asymptote can be found when the degree of the

numerator is equal to the degree of the denominator of a

rational function.

In this question the degree of numerator and denominator are both

1 and so horizontal asymptote exists.

To establish it's equation take the ratio of leading coefficients.

$y = \frac{1}{1} = 1$

the graph shows that as  lim_(x→±∞) y = 1

graph{(x+1)/(x+2) [-10, 10, -5, 5]}