There are times when we want to see how a function behaves near a horizontal asymptote. Much like finding the limit of a function as x approaches a value, we can find the limit of a function as x approaches positive or negative infinity. In this section, we will learn how to evaluate limits at infinity algebraically using the "Highest Power Rule", with tricks like using conjugates, common denominators, and factoring.
The line y=L is a horizontal asymptote of the curve y=f(x) in any of the following two cases:
Introduction to Horizontal Asymptotes
Use "Highest Power Rule" to Evaluate Limits at Infinity of Rational Functions in 3 Types
Multiply Conjugates First, then Evaluate Limits
Limits at infinity - horizontal asymptotes
Don't just watch, practice makes perfect.
We have over 350 practice questions in Calculus for you to master.