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

Education Standards (1)

Absolute and conditional convergence module

Overview

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

  • Determine if a series converges absolutely or conditionally.
  • Answer conceptual questions about absolute convergence
 

Absolute and Conditional Convergence

Ximera Module

The basic question we wish to answer about a series is whether or not the series converges. If a series has both positive and negative terms, we can refine this question and ask whether or not the series converges when all terms are replaced by their absolute values. This is the distinction between absolute and conditional convergence, which we explore in this section.