# Integral and divergence tests module

## Overview

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

- Use the integral test to determine that a series diverges.
- Use integrals to estimate the value of a series within an error.
- Use the divergence test to determine that a series diverges.
- Manipulate series using the properties of convergent series.
- Recognize known convergent or divergent series.

# The divergence test

## Ximera Module

If an infinite sum converges, then its terms must tend to zero.