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

1 Answer
Jan 29, 2016

Answer:

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 = 1/1 = 1 #

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

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