Limits at Infinity | Calculus Lesson 7 - JK Math
How to Evaluate Limits at Infinity (Calculus Lesson 7) ➡️ Download My Free Calculus 1 Worksheets: https://www.jkmathematics.com/calculu... 🖥️ Join My Membership Site: https://www.jkmathematics.com/plus In this lesson we learn how to evaluate limits at infinity. We learn the basic rules for evaluating limits at infinity, as well as a special limit that can be used to evaluate more complex limits at infinity. This results in us learning the guidelines for quickly evaluating limits at infinity for rational functions based on the powers of x in the numerators and denominators. Also, we learn how a limit at infinity of a function can give us the location of horizontal asymptotes for that function. And finally, we discuss how to deal with limits at infinity of rational functions containing square roots that have two horizontal asymptotes. This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes! Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first! Video Chapters: 0:00 What is a Limit at Infinity? 0:51 Basic Rules for Limits at Infinity 3:28 Limit at Infinity for a Rational Function (New Special Limits) 6:47 Highest Degree of Numerator Less Than Denominator 10:36 Highest Degree of Numerator Greater Than Denominator 12:08 Three Guidelines for Limits at Infinity of Rational Functions 13:43 Horizontal Asymptotes 14:42 Limit of Rational Function with a Square Root of x^2 at Infinity 16:42 Two Horizontal Asymptotes & Negative Infinity 📝 Examples Video: • Limits at Infinity Examples | Calculus - J... ⏩ Next Lesson: • Limit Definition of the Derivative | Calcu... 📺 Course Playlist: • Calculus 1 🌐 Visit My Website: https://www.jkmathematics.com ⚡️Math Products I Recommend⚡️ Graphing Calculator: https://amzn.to/3XuUcB9 Non-Graphing Calculator: https://amzn.to/46hHJ7E Financial Calculator: https://amzn.to/3CRe9s4 Graphing Paper: https://amzn.to/46mAfAr College Rule Paper: https://amzn.to/3NOJaTN My Favorite Pencil: https://amzn.to/3NOFMIB My Favorite Erasers: https://amzn.to/3PumUQB Calculus Workbook: https://amzn.to/3r8SnNP ⚡️Textbooks I Use⚡️ Calculus 1 & 2: https://amzn.to/3PzfI5F Calculus 3: https://amzn.to/46rSy76 Financial Mathematics: https://amzn.to/3ppIVW0 ⚡️My Recording Equipment⚡️ iPad Air: https://amzn.to/3phEug1 Apple Pencil (Gen 2): https://amzn.to/3Nl45MM Tablet Desk Stand: https://amzn.to/4420rPh External Hardrive: https://amzn.to/44pkEyh (Commissions earned on qualifying purchases) Find me on social media: Facebook: / jkmathematics Twitter: / jk_mathematics Instagram: @jk_mathematics Thanks for watching! Any questions? Leave a comment! -Josh from JK Math #calculus #limits Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
