How do you find the horizontal asymptote for # f(x) = (x+1) / (x+2)#?
1 Answer
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 = 1/1 = 1 # the graph shows that as
# lim_(x→±∞) y = 1 #
graph{(x+1)/(x+2) [-10, 10, -5, 5]}
