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Mathematics Archives

Math Archives: Visual Calculus: Limit Comparison Test

For Students 9th - 10th
Visual Calculus offers a discussion and exercises regarding the limit comparison test.
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Mathematics Archives

Math Archives: Visual Calculus: Absolute Convergence

For Students 9th - 10th
A good site explaining absolute convergence. The site has the definition, theorem and examples.
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Texas Instruments

Texas Instruments: Integral Test

For Teachers 9th - 10th
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
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Paul Dawkins

Paul's Online Notes: Calculus Ii: Series and Sequences

For Students 9th - 10th
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...
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Math Medics

S.o.s. Math: Ratio Test

For Students 9th - 10th
This a comprehensive tutorial explaining the Ratio Test with examples the students can work.
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Math Medics

S.o.s. Math: The Radius of Convergence

For Students 9th - 10th
Detailed explanation of the The Radius of Convergence. The lesson contains examples the student can examine.
Handout
Other

Sierra College: Summary of Tests for Series

For Students 9th - 10th
Provides a summary of tests for series that includes the test, series, converges, sum of remainder, and diverges for nth Term, Geometric Series, Telescoping Series, p-Series, Alternating Series, Integral, Root, Ratio, Direct Comparison,...
Handout
Math2

Math2.org: Series Expansions

For Students 9th - 10th
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...
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McGraw Hill

Glencoe Mathematics: Online Study Tool: Quiz on Convergent and Divergent Series

For Students 9th - 10th
Learners exhibit comprehension of advanced mathematical concepts in Pre-Calculus. The online quiz tests the scholars on convergent and divergent series.
Unknown Type
Khan Academy

Khan Academy: Alternating Series Test

For Students 11th
Practice your understanding of the alternating series test and determine whether given series converge conditionally or absolutely.
Unit Plan
Wolfram Research

Wolfram Math World: Leibniz Criterion

For Students 9th - 10th
This page states the Leibniz Criterion, or the alternating series test that determines whether or not an alternating series converges.

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