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Ch 4: Limits of Functions

About This Chapter

These fast and easy-to-follow videos explain everything you need to know about limits of functions. A short quiz after each lesson helps you test your mastery of the subject.

Limits - Chapter Summary and Learning Objectives

This chapter is designed to help you learn to define, write, graph, and understand limits of functions in calculus. The videos provide clear explanations of all the core concepts, and the short self-assessments after each lesson give you the opportunity to practice and hone your skills. The tools here will teach you everything you need, including:

  • How to use notation to determine limits
  • Graphing and interpreting limits
  • The proper way to write one-sided limits
  • Definition and examples of squeeze theorem

Video Objectives
Understanding Limits: Using Notation Learn to identify limits by using notation.
Using a Graph to Define Limits Discover how to graphically represent limits and see examples.
One-Sided Limits and Continuity Write one-sided limits and determine how they relate to continuity.
How to Determine the Limits of Functions Learn to determine the limits of functions.
Understanding the Properties of Limits Explore the properties of limits.
Squeeze Theorem: Definition and Examples Define the squeeze theorem and get examples.
Graphs and Limits: Defining Asymptotes and Infinity Learn to define limits of asymptotes and infinity.

9 Lessons in Chapter 4: Limits of Functions
Test your knowledge with a 30-question chapter practice test
Understanding Limits: Using Notation

1. Understanding Limits: Using Notation

Join me on a road trip as we define the mathematical notation of limits. As time goes by and I traverse hills and highways, the limit of my speed changes. Learn how to write these limits in this lesson.

Using a Graph to Define Limits

2. Using a Graph to Define Limits

My mom always said I tested the limits of her patience. Use graphs to learn about limits in math. You won't get grounded as we approach limits in this lesson.

One-Sided Limits and Continuity

3. One-Sided Limits and Continuity

Over the river and through the woods is only fun on a continuous path. What happens when the path has a discontinuity? In this lesson, learn about the relationship between continuity and limits as we walk up and down this wildlife path.

Infinite Limit: Definition & Rules

4. Infinite Limit: Definition & Rules

In this lesson, we learn how to interpret limits whose values are unbounded, or infinite. We'll look at a few examples to show you how to compute these infinite limits.

How to Determine the Limits of Functions

5. How to Determine the Limits of Functions

You know the definition of a limit. You know the properties of limits. You can connect limits and continuity. Now use this knowledge to calculate the limits of complex functions in this lesson.

Understanding the Properties of Limits

6. Understanding the Properties of Limits

Graphically we can see limits, but how do we actually calculate them? Three words: Divide and Conquer. In this lesson, explore some of the properties that we can use to find limits.

Squeeze Theorem: Definition and Examples

7. Squeeze Theorem: Definition and Examples

In the Kingdom of Rimonn there are three rivers. In this lesson, learn how these waterways demonstrate the power of the squeeze theorem for finding the limits of functions.

Graphs and Limits: Defining Asymptotes and Infinity

8. Graphs and Limits: Defining Asymptotes and Infinity

Infinity is a hard concept to understand and the word asymptote is pretty intimidating. But this fun lesson will make both seem like a walk in the park as it defines both and shows their relationship using a graph.

How to Determine if a Limit Does Not Exist

9. How to Determine if a Limit Does Not Exist

In this lesson, we'll discuss when a limit does not exist. We'll begin with a description of each type of limit and when that particular type does not exist. Then, we'll use a graph to show how to recognize when a limit does not exist based on the graph of a function ''f.''

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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