One Sided & Infinite Limits | Calculus Lesson 6 – JK Math

How to Evaluate One Sided Limits and Infinite Limits (Calculus Lesson 6)

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In this lesson we learn how to evaluate one-sided and infinite limits analytically. Some one-sided limits are no different than two-sided limits when evaluating, but many require a new method to evaluate. This can often result in infinite limits, where the limit at a particular point is not a finite number, but rather infinity or negative infinity. Thus we will also discover two-sided limits that require this new method because none of the previously learned methods of evaluating limits can be used. During our discussion of one-sided limits, we look at a step function, the greatest integer function, to help with understanding the usefulness of one-sided limits. Also, we briefly look at the properties of infinite limits, including the sum and difference properties, product property, and quotient property. There’s a lot to digest here, so buckle in and enjoy the ride!

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 One-Sided Limit of a Continuous Function
1:10 One-Sided Limit of a Function with a Removable Discontinuity
3:29 One-Sided Infinite Limits
6:58 Two-Sided Infinite Limit
9:51 Intro to The Greatest Integer Function
11:28 One-Sided Limits of The Greatest Integer Function
13:08 Properties of Infinite Limits
16:36 Example: Sum Property
17:17 Example: Product Property
18:04 Example: Quotient Property

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#calculus #limits

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