6.2 Convergence Tests, Part II

In this lesson, you will learn about the basic and limit comparison tests for convergence of infinite series.

Lesson Objectives

• • Correctly apply the Basic Comparison Test.

  • Correctly apply the Limit Comparison Test.

Lesson Content

View all of the following instructional videos. These will help you master the objectives for this module.

• 1. YouTube video: The Comparison Test

• 1. YouTube video: The Limit Comparison Test

Lesson Readings

The following required readings cover the content for this module. As you go through each reading, pay close attention to the content that will help you learn the objectives for this module.

• 1. Comparison Test/Limit Comparison Test

  2. Section 11.4: The Comparison Tests - the comparison test and the limit comparison test

  3. Comparison Tests - the comparison test, the limit comparison test, and using comparison test to estimate error

1. Limit Comparison Test

Lesson Practice Exercises/Activities

Make your way through each of the practice exercises. This is where you will take what you have learned from the lesson content and lesson readings and apply it by solving practice problems.

• 1. Comparison Test (5 problems with solutions)

  2. Limit Comparison Test (4 problems with solutions)

  3. Drill - Limit Comparison Test (with hints and solutions)

Additional Resources

Below are additional resources that help reinforce the content for this module.

• 1. The Limit Comparison Test

  2. 2.5. The Comparison Test

  3. The Comparison and Limit Comparison Tests (examples)