One Sided & Infinite Limits Examples | Calculus – JK Math

Example Problems For How To Evaluate One Sided Limits and Infinite Limits (Calculus)

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In this video we look at examples of evaluating 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 that involves checking values close to the x value of interest. Thus, we will encounter examples that result in infinite limits, where the limit at a particular point is not a finite number, but rather infinity or negative infinity. This includes two-sided limits where none of the previously learned methods of evaluating limits can be used. We also look at a limit of a function that contains the greatest integer function, to help with understanding the usefulness of one-sided limits. Also, we look at an example that explicitly uses the properties of infinite limits, including the sum and difference properties, product property, and quotient property.

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 Example 1 – One-Sided Limit of a Continuous Function
0:51 Example 2 – One-Sided Limit of a Function with a Removable Discontinuity
3:46 Example 3 – One-Sided Infinite Limit (Positive Infinity)
5:43 Example 4 – One-Sided Infinite Limit (Negative Infinity)
7:32 Example 5 – One-Sided Limit with The Greatest Integer Function
10:26 Example 6 – Two-Sided Infinite Limit
12:34 Example 7 – Two-Sided Limit with No Conclusion
15:40 Example 8 – Using the Properties of Infinite Limits

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