# Alternating series modules

## Overview

After completing this section, students should be able to do the following.

- Determine if a series converges using the alternating series test.
- Determine if a series converges absolutely.
- Determine if a series converges conditionally.
- Determine if an alternating series diverges.

# The integral test

## Ximera Module

Certain infinite series can be studied using improper integrals.

# The alternating series test

## Ximera Module

Alternating series are series whose terms alternate in sign between positive and negative. There is a powerful convergence test for alternating series.