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Lesson: Comparison Test for Series Mathematics

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 comparison test.

Lesson Plan

Students will be able to

use the comparison test to test whether a series is convergent or divergent.

Lesson Video

Lesson Playlist

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Lesson Worksheet

Q1:

Use the comparison test to decide whether the series is convergent or divergent.

Q2:

Let . As , we see that , which suggests that is a divergent series. Verify this by finding the first integer where . You should check that this inequality remains true for all larger .

Q3:

Consider the series .

Do the terms of this sequence tend to 0 as ?

Is the series convergent or divergent?