Lesson: Limit Comparison Test Mathematics • Higher Education

In this lesson, we will learn how to determine whether a series is convergent or divergent by comparing it to a series of known convergence using the limit comparison test.

Lesson Plan

Students will be able to

determine whether a series is convergent or divergent by comparing it to a series of known convergence using the limit comparison test.

Lesson Video

Lesson Worksheet

Q1:

All the terms of the series are positive when is large since when and close to 0. Use the limit comparison test to decide whether the series is convergent or divergent.

Q2:

Suppose and with . What does the limit comparison test tell us about the series ?

Q3:

Let and consider the series . We want to apply the limit comparison test.

Find so that is a positive constant.

Is the series convergent or divergent?