Limits at Infinity and Horizontal Asymptotes | Calculus 1

This is an intro to limits at infinity. We discuss what it means to consider the limit of a function as x goes to infinity or positive infinity, connecting it to end behavior and looking at graphs. We discuss horizontal asymptotes, and go through several examples of finding limits of rational functions as x goes to infinity. #calculus1 #apcalculus

0:00 Intro
0:40 Limits at Infinity on Graph and Table
2:14 Definition of Horizontal Asymptotes
2:51 Basic Limit Properties
3:08 Basic Example 1/sqrt(x)
5:15 Limits of Rational Functions at Infinity
12:47 Outro

Calculus 1 Course:    • Calculus 1  
Calculus 1 Exercises playlist:    • Calculus 1 Exercises  

◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Abstract Algebra: https://amzn.to/3IjoZaO
Linear Algebra: https://amzn.to/43xAWEz
Calculus: https://amzn.to/3PieD1M
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd

★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons  
◆ Donate on PayPal: https://www.paypal.me/wrathofmath

Thanks to Loke Tan, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!

Outro music is mine. You cannot find it anywhere, for now.

Follow Wrath of Math on...
● Instagram:   / wrathofmathedu  
● Facebook:   / wrathofmath  
● Twitter:   / wrathofmathedu  

My Math Rap channel:    / @mathbars2020