Curated OER
Discussion Sheet 10: Convergence
In this convergence worksheet, students compute improper integrals. They use the comparison test or the absolute convergence test to prove convergence. Students find the area of a region bounded by graphs. This one-page worksheet...
Curated OER
Intervals of Convergence Power Series
For this interval of convergence worksheet, students identify the interval of convergence and apply the absolute ratio test. This two-page worksheet contains fourteen problems.
Curated OER
Comparison Test for Convergence and Divergence
In this comparison and convergence worksheet, students show that each of six improper integral converges. They use the comparison test to show that each of two improper integrals diverges.
Curated OER
Discussion Sheet 10: Series
In this series activity, students use the absolute convergence test to determine numbers in a series and the interval of convergence. They list the first four terms in a series. This two-page activity contains approximately 30 problems.
College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
Curated OER
Worksheet 13
In this math worksheet, students define how for a given value of x, the series S(x) converges. Then they prove how convergence can be absolute.
Curated OER
Limit Comparison Test
In this calculus worksheet, 11th graders solve 7 problems where they determine the convergence and divergence properties using the limit comparison test.
Curated OER
Determine if Series Converge or Diverge in Five Multi-part Problems
In this series worksheet, students determine if series converge, converges absolutely, or diverge. Students also state what test they used to arrive at their solutions.
Curated OER
Worksheet 10 - Spring 1996
In this math worksheet, students investigate how a series can apply the law of convergence. They also test the functions using convergence.
Curated OER
Worksheet 12 - Spring 1996
In this math worksheet, students consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.
Curated OER
Integration Review
In this algebra activity, 11th graders solve a series and identify if the series will diverge or converge based on n equals. There are 5 questions.
Mathematics Archives
Math Archives: Visual Calculus: Absolute Convergence
A good site explaining absolute convergence. The site has the definition, theorem and examples.
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.
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: Radius of Convergence
MathWorld provides a site about the Radius of Convergence. Brief and factual, formulas are provided along with several links to additional information on related subjects.
Khan Academy
Khan Academy: Alternating Series Test
Practice your understanding of the alternating series test and determine whether given series converge conditionally or absolutely.
Other
Shippensburg University: The Root Test
This site provides a brief overview of the root test, presenting one sequence with converges absolutely and one which diverges.