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Questions over Chapter 12: Calculus and Analytic Geometry

For Students Higher Ed
In this calculus question worksheet, students read calculus questions by their peers. The students attempt to teach each other by answering the written questions. Questions cover limits, test for convergence, approximation, interval of...
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Interval of Convergence

For Students 12th - Higher Ed
In this interval worksheet, learners determine the interval convergence or divergence of a function. In this two-page worksheet, students complete approximately twelve problems.
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Curated OER

The Hunter and His Dog

For Students 12th - Higher Ed
In this distance learning exercise, students determine total distance and time. They identify an equation as convergent or divergent. This two-page learning exercise contains five multi-step problems.
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Worksheet on Power Series

For Students Higher Ed
In this function worksheet, students identify the interval of convergence and write differential equations. This two-page worksheet contains five multi-step questions.
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Improper Integrals

For Students Higher Ed
In this improper integral worksheet, students compare improper integrals, identify the convergence or divergence, and sketch pictures of answers. This four-page worksheet contains approximately ten problems.
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Using Convergence Tests

For Students Higher Ed
In this convergence worksheet, students complete problems and identify the point of convergence and divergence. This two-page worksheet contains two multi-step problems.
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Alternating Series Test

For Students 11th - Higher Ed
In this math instructional activity, students practice using the series test for convergence. Then they look at the proofs to see if the series satisfy the conditions.
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Convergence Tests for Infinite Series

For Students 12th - Higher Ed
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
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Discussion Sheet 6: Convergence or Divergence

For Students Higher Ed
In this convergence or divergence worksheet, students perform tests for convergence or divergence. They estimate the sum in a series and determine the value of the convergent series. This one-page worksheet contains three problems.
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Discussion Sheet 7: Convergence or Divergence

For Students Higher Ed
In this convergence or divergence worksheet, students use any method to test for convergence or divergence. This one-page worksheet contains four multi-step problems.
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Worksheet
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Alternating Series and Convergence Tests

For Students 11th - Higher Ed
In this math worksheet, students examine the concept of convergence and test the alternating series. They also read and apply the theorem of alternating series.
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Worksheet
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Infinite Series

For Students 11th - Higher Ed
In this math worksheet, learners examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Comparing Improper Integrals

For Students 11th - Higher Ed
In this math instructional activity, students compare the improper integrals. They determine if each integral converges or diverges. The improper integral test is read and applied.
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Discussion Sheet 8

For Students 11th - Higher Ed
In this math learning exercise, students examine the series and determine if they converge or diverge. They also find the interval of convergence for each power series.
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Curated OER

Discussion Sheet 7

For Students 11th - Higher Ed
In this math activity, students examine the sequences and determine if there is convergence or divergence present. They also apply the logic to the word problems.
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Intervals of Convergence

For Students 11th - Higher Ed
In this math worksheet, students examine the concept of intervals and how they converge. Then students apply the Taylor series for the problems.
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Discussion Sheet 8

For Students 11th - Higher Ed
For this math worksheet, students apply the test for each series and determine if they converge or diverge. Students also find the exact value of the convergent series.
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Discussion Sheet 9

For Students 11th - Higher Ed
In this math worksheet, students determine the convergence and divergence for each series using the test that is indicated. They also compute the partial sum and determine the error.
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Intervals of Convergence Power Series

For Students Higher Ed
In this interval of convergence worksheet, students identify the interval of convergence and apply the absolute ratio test. This two-page worksheet contains fourteen problems.
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Worksheet
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Testing Infinite Series for Convergence/ Divergence

For Students 11th - Higher Ed
In this math worksheet, students investigate the concepts of divergence and convergence for the functions. The sheet is handwritten and has poor quality.
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Numerical Analysis

For Students 11th - Higher Ed
In this math worksheet, students practice analyzing iterative methods. Then they use the reading to practice problem solving focusing upon convergence.
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Numerical Analysis/ Orders of Convergence of a Sequence

For Students 11th - Higher Ed
In this math worksheet, learners examine the concept of orders of convergence for a sequence. They practice finding the different rates of convergence.
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Rates of Convergence of Functions and Sequences

For Students 12th - Higher Ed
In this math activity, students explore the rates of convergence for functions and sequences. They also practice using Taylor series approximations.
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Worksheet
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Worksheet 10

For Students 11th - Higher Ed
In this math worksheet, they state the tests for convergence or divergence of a series. Then they show examples of series to which the tests could be applied.