Continuity | Calculus Lesson 5 - JK Math

Continuity of Functions (Calculus Lesson 5) ➡️ Download My Free Calculus 1 Worksheets: https://www.jkmathematics.com/calculus1-worksheet-set 🖥️ Join My Membership Site: https://www.jkmathematics.com/plus In this lesson we discuss continuity and what it means for a function to be continuous from a calculus perspective. We use limits to help us determine if points on a function are continuous or are a discontinuity. We also classify the two different kinds of discontinuities: removable and nonremovable. 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 Continuity? 0:24 A Continuous Function on an Interval 1:20 A Jump Discontinuity on an Interval 2:51 A Hole in a Function on an Interval 6:04 Calculus Definition of Continuity 7:51 Removable Discontinuities 9:35 Non-removable Discontinuities 10:30 Example 1 - Everywhere Continuous 11:30 Example 2 - Non-removable Discontinuity (Vertical Asymptote) 12:40 Example 3 - Removable Discontinuity (Hole) 📝 Examples Video: https://youtu.be/kyx914qKLA0 ⏩ Next Lesson: https://youtu.be/670W6ahDqfo 📺 Course Playlist: https://youtube.com/playlist?list=PLHdRLeAbIZE6krGDQthaQRpLZFLD4ob54 🌐 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: https://www.facebook.com/jkmathematics Twitter: https://twitter.com/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.