Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Divergence Tests, Integral Test
License:
Creative Commons Attribution Non-Commercial
Language:
English
Media Formats:
eBook, Interactive

Education Standards (1)

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.