Question

How do I find all horizontal and vertical asymptotes of a curve and justify my answers with limit statements?

Answer 1

Explanation:

A function f(x) will have the horizontal asymptote y=L if either limx→∞f(x)=L or limx→−∞f(x)=L. Therefore, to find horizontal asymptotes, we simply evaluate the limit of the function as it approaches infinity, and again as it approaches negative infinity.