Author:
Ohio Open Ed Collaborative
Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Divergence Tests, Integral Test
Language:
English
Media Formats:
eBook, Interactive

# 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.