CPM Homework Help : CALC Problem 4-157

For the functions listed in parts (a) through (c) of problem 4-156, find $\lim\limits_ { x \rightarrow \infty } y$ . Describe the connection between the limit and the end behavior.

Hint:

(This usually means that there is a horizontal asymptote.)
However, there is an exception when a function has two different horizontal asymptotes:

More Help:

End behavior is a function that describes the shape of its growth towards $∞$ or $− ∞$ .