Science:Infinite Series Module/Units/Unit 2/2.1 The Divergence Test

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What This Lesson Covers

In this short lesson we will only introduce the divergence test.

Learning Objectives

After reading this lesson and completing a sufficient number of exercices on paper, you should be able to use the divergence test to determine if a given infinite series diverges.


  1. Introduction To The Divergence Test
  2. A Useful Theorem
  3. The Divergence Test
  4. A Divergence Test Flowchart
  5. A Simple Divergence Test Example
  6. Final Thoughts on the Divergence Test

Additional Resources for This Lesson

  • Problems from the list of recommended exercises
  • Additional Example 1: Divergence Test with Square Roots
  • Additional Example 2: Divergence Test with arctan(x)
  • Video Examples