Divergent Series Calculus Teacher Resources

Find Divergent Series Calculus lesson plans and worksheets
Showing 89 resources
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Instructional Video
Sophia Learning

Sophia: Convergence at a Limit: Lesson 2

For Students 11th - 12th
This lesson explains how the left and right limits for a value of the domain of a function relate to the concept of convergence. It is 2 of 5 in the series titled "Convergence at a Limit." [3:27]
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Instructional Video
Sophia Learning

Sophia: Convergence at a Limit: Lesson 3

For Students 11th - 12th
This lesson explains how the left and right limits for a value of the domain of a function relate to the concept of convergence. It is 3 of 5 in the series titled "Convergence at a Limit." [1:56]
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Handout
Wolfram Research

Wolfram Math World: Divergent Series

For Students 9th - 10th
This page discusses divergent series, providing links to more detailed information about various aspects of divergent series.
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Handout
Wolfram Research

Wolfram Math World: Divergence Test

For Students 9th - 10th
This is a brief statement of a divergence test that can be used to determine whether or not a given series converges or diverges. Provides no explanation, but simply a statement.
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Activity
Math Medics

S.o.s. Math: Sequences Limits

For Students 9th - 10th
This lesson discusses the limit of a sequence in mathematics. Compares convergent and divergent sequences and presents numerical and graphical examples.
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Ratio Test

For Students 9th - 10th
Visual Calculus offers a discussion and exercises concerning the ratio test for convergence of series.
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Integral Test

For Students 9th - 10th
Visual Calculus offers a discussion and exercises concerning the integral test for convergence of series. The site also discusses the power series test.
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Instructional Video
Khan Academy

Khan Academy: Advanced Sequences and Series: Convergent and Divergent Sequences

For Students 9th - 10th
Observe a sequence and find the limit as it approaches infinite.
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Handout
Wolfram Research

Wolfram Math World: Convergence Tests

For Students 9th - 10th
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.
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Handout
Wolfram Research

Wolfram Math World: Convergent Sequence

For Students 9th - 10th
This site from MathWorld explains convergent sequences with links to related information. The information is very brief, but examples and formulas are provided.
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Handout
Math Open Reference

Math Open Reference: Integral Test

For Students 9th - 10th
A handy reference guide to the integral test. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
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Activity
Wolfram Research

Wolfram Math World: Ratio Test

For Students 9th - 10th
This page states the Ratio Test for convergent or divergent series, sometimes called the Cauchy Ratio Test or the d'Alembert Ratio Test. Brief but informational.
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Graphic
Virginia Commonwealth University

Don Mikulecky: The Limit of a Sequence

For Students 9th - 10th
A series of slides discussing the mathematical limit of a sequence. The slideshow is straight-forward, providing terminology and examples of how to find sequence limits. The slideshow goes on to discuss series, and more.
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Activity
Math Medics

S.o.s. Math: Sequences: Special Limits

For Students 9th - 10th
This lesson discusses important limits of particular sequences that can be very "useful in many branches of science." Includes good proofs.
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Handout
Math Open Reference

Math Open Reference: Comparison Test

For Students 9th - 10th
Learn about comparison tests with this helpful reference tool. Provides a detailed definition and examples that enhances further explanation. Includes links to related topics.
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Handout
Math Words

Math Words: Root Test

For Students 9th - 10th
Math Word briefly states the root test and discusses when the series is convergent, divergent or does not exist.
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Activity
Other

Shippensburg University: The Root Test

For Students 9th - 10th
This site provides a brief overview of the root test, presenting one sequence with converges absolutely and one which diverges.

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Divergent Series Calculus