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

    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.