Calculus I – Lecture 6: Introduction to Limits One Sided & Infinite Limits скачать в хорошем качестве

Calculus I – Lecture 6: Introduction to Limits One Sided & Infinite Limits

In this lecture, we introduce the fundamental concept of limits in calculus. Topics covered: The intuitive idea of a limit Difference between f(c) and llim x→c f(x) Left-hand and right-hand limits Limits of linear and rational functions Infinite limits and vertical asymptotes When limits do not exist Special attention is given to graphical interpretation and algebraic simplification techniques. Students are encouraged to write along and pause the video when needed. Instructor: Prof. Shadi Shaqaqha Department of Mathematics – Yarmouk University شرح تمهيدي لمفهوم النهاية، النهايات الأحادية، والنهايات اللانهائية مع تفسير بياني وجبري. 00:00 The Idea of a Limit 03:29 Left-Hand and Right-Hand Limits 05:04 When the Limit Does Not Exist 08:20 Limit of a Linear Function 10:04 Algebraic Simplification (Factoring Example) 12:03 Hole vs Continuous Function 14:45 Infinite Limits – Definition 19:53 One-Sided Infinite Limits Example 21:17 Absolute Value Example (Both Sides → +∞)