Final Thoughts on the Ratio Test

Recall our Learning Objectives

In this lesson we only covered

After reading this lesson and completing a suitable number of exercises, you should be able to, given an infinite series

apply the ratio test to determine whether or not the infinite series converges, diverges, or if the ratio test fails to provide any information

In this lesson, we did not explore the concepts of

These concepts are needed to prove the ratio test, and are introduced in our appendix on the Proof of the Ratio Test.

These concepts are sometimes taught before the ratio test is introduced, and your instructor may expect you to be familiar with them.