Author:
Ohio Open Ed Collaborative
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

    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.