Limits at infinity - horizontal asymptotes - Limits
Limits at infinity - horizontal asymptotes
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.
Lessons
Notes:
The line is a horizontal asymptote of the curve in any of the following two cases:
![]() |
![]() |
![]() |
![]() |
-
Intro Lesson
Introduction to Horizontal Asymptotes
-
3.
Use "Highest Power Rule" to Evaluate Limits at Infinity of Rational Functions in 3 Types
Find: -
5.
Multiply Conjugates First, then Evaluate Limits
Find:
