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

Education Standards (1)

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.