Limits and Graphs

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Taught by Houston
  • Currently 5.0/5 Stars.
8267 views | 9 ratings
Meets NCTM Standards:
Lesson Summary:

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.

Lesson Description:

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

Additional Resources:
Questions answered by this video:
  • 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

    • Currently 5.0/5 Stars.
    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.
  • Remus_Cypher

    • Currently 5.0/5 Stars.
    This is an excellent video. If you need help with limits, check this out.
  • levin

    • Currently 5.0/5 Stars.
    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!!!
  • Eennu Shaik

    • Currently 5.0/5 Stars.
    ITs one perfect video to understand the basic concept