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

    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.