Calculation of Limits
In this lesson on Calculation of Limits, the use of "limit laws" to compute limits is explained. The six basic general facts about limits are discussed, such as the limit of the sum being equal to the sum of the limits and the limit of a product being equal to the product of the limits. Examples are given to show how to simplify functions and compute limits. The continuity property is mentioned, which says that the limit equals the value of the function at a point. One-sided limits and non-existent one-sided limits are also covered.
Using "limit laws" to compute limits.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
- The epsilon-delta definition of a limit - What is the epsilon-delta definition of a limit, and how is it used in problems?
- Using Theorems to find limits - Learn to use theorems to find limits.
- Practice Finding Limits 1 - The first page of finding limits practice.
- Practice Finding Limits 2 - The second page of finding limits practice.
- What are the rules of limits?
- How do you calculate limits?
- What is the continuity property of polynomials?
- How do you take a limit if the limit of the denominator is 0?
- How do you find one-sided limits?
- How do you find the limit of f(x)/g(x) if both f(x) and g(x) go to 0?
- When do one-sided limits not exist?
-
Staff Review
This video does a great job of laying out all of the rules and general facts about limits. Then, several example problems are done with every step explained in detail to show you how these rules are used. This lesson has some really great explanations with truly helpful resources. -
Chetan
The video is been really helpful. Especially the 7 rules that have been explained and last but not the least, the concept of non-existent limits. Thank you. You people are doing a wonderful job.
