Curated OER
Infinite Series: Convergent or Divergent
In this infinite series worksheet, students use the Integral Test to determine if a function is convergent or divergent. They use the Comparison Test to prove convergence and calculate partial sums. This two-page worksheet contains...
Math2
Math2.org: Series Convergence Tests
This is an excellent resource! It states all of the most common tests for series convergence. Examples are not included.
Mathematics Archives
Math Archives: Visual Calculus: Integral Test
Visual Calculus offers a discussion and exercises concerning the integral test for convergence of series. The site also discusses the power series test.
Wolfram Research
Wolfram Math World: Harmonic Series
This MathWorld site provides a general overview of the harmonic series.
Wolfram Research
Wolfram Math World: Integral Test
This page gives a brief statement of the Integral Test for convergent or divergent series. This test is also called the Cauchy Integral Test or the Maclaurin Integral Test.
Texas Instruments
Texas Instruments: Integral Test
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Series and Sequences
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
Math Open Reference
Math Open Reference: Integral Test
A handy reference guide to the integral test. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
Math2
Math2.org: Series Expansions
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...
Wolfram Research
Wolfram Math World: Convergence Tests
This page provides links to information about tests to determine the convergence or divergence of a series. No information about convergence tests is offered directly at this link.