Limits and Graphs
In this lesson on Limits and Graphs, you will learn how to intuitively describe the behavior of a function near a certain point, using left and right-sided limits. You will also learn about infinite one-sided limits and vertical asymptotes. The lesson provides examples and exercises to help you understand how to determine the value of a function at a certain point, the limits on both sides of that point, and how to sketch a graph of a function based on its conditions. Overall, this lesson provides a solid foundation for understanding the concept of limits and their relationships with graphs.
The concept of limit from an intuitive, graphical point of view. Left and right-sided limits. Infinite one-sided limits and vertical asymptotes.
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.
- Finding the limit from a graph - How to find the limit of a function from a graph
- Finding a limit intuitively - How to find the limit of a function intuitively.
- What is a limit?
- What is a hole?
- What does it mean for a graph to be continuous?
- What happens if f(1) does not equal the limit as f(x) approaches 1?
- When does a limit not exist?
- What is a one-sided limit?
-
Staff Review
This video explains limits and continuity completely and very well. If you are having any trouble understanding limits, be sure to check out this video. A truly great tutorial, in which several examples are explained and every step is detailed. The resources are great companions to this video. -
-
levin
Perfect choice of problems and additional resources. Helps a lot in my classroom, much better than just work from overhead projector. 'help on this topic' part is the best!!! -
