Ch 4: Limits in AP Calculus: Tutoring Solution

About This Chapter

The Limits chapter of this AP Calculus AB and BC Tutoring Solution is a flexible and affordable path to learning about limits in AP calculus. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving limits required in a typical AP calculus course.

How it works:

  • Begin your assignment or other AP calculus work.
  • Identify the limits concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our AP calculus tutoring solution will benefit any student who is trying to learn about limits for AP calculus and earn better grades. This resource can help students including those who:

  • Struggle with understanding one-sided limits, limit properties, squeeze theorem, limits for asymptotes and infinity or any other limits in AP calculus topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their limits in AP calculus unit
  • Cope with ADD or ADHD
  • Want to get ahead in AP calculus
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning about limits for AP calculus simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live calculus tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about limits on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Define limits using graphs.
  • Use notation to understand limits.
  • Describe the relationship between one-sided limits and continuity.
  • Learn how to find the limits of functions.
  • Discuss the properties of limits.
  • Understand the squeeze theorem.
  • Define asymptotes and infinity.

7 Lessons in Chapter 4: Limits in AP Calculus: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
Using a Graph to Define Limits

1. 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.

Understanding Limits: Using Notation

2. 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.

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.

How to Determine the Limits of Functions

4. 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

5. 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

6. 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

7. 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.

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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