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# 10.6 Comparison Tests for Convergence

Athena_Codes

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## Intro to the Comparison Tests

When you canβt use the integral test, you can see if the series looks like a geometric or p-series. From this, you can use these similarities to determine whether a series converges or diverges.

## What is the Direct Comparison Test?

The Direct Comparison Test is as follows:

## What is the Limit Comparison Test?

The Limit Comparison Test is as follows:

## Problems

1. State the two comparison tests. What are the differences between them?
Determine whether the following series converge or diverge.
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