Worksheet
Curated OER

Worksheet on Power Series

For Students Higher Ed
In this function activity, students identify the interval of convergence and write differential equations. This two-page activity contains five multi-step questions.
Worksheet
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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.
Worksheet
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Error and Power Series

For Students Higher Ed
In this college level calculus worksheet, students compare two series to compute the error given the number of terms added. Students write the Maclaurin and Taylor series for the given functions. The two page worksheet contains seven...
Worksheet
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Taylor Series

For Students 9th - Higher Ed
In this calculus activity, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.
Worksheet
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Power and Maclaurin Series

For Students 11th - 12th
In this calculus worksheet, students solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.
Lesson Plan
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Matter and Motion

For Teachers 11th - Higher Ed
In this matter and motion worksheet, young scholars solve 4 different problems that relate to determining the matter and motion of a function problem. First, they find the limit of a as n to infinity and then, determine whether each...
Worksheet
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Worksheet 23

For Students 11th - Higher Ed
In this math worksheet, students find two power series solutions to Airy's equation. Then they find the radius of convergence for the solutions.
Worksheet
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Discussion Sheet 8

For Students 11th - Higher Ed
In this math instructional activity, students examine the series and determine if they converge or diverge. They also find the interval of convergence for each power series.
Worksheet
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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...
Worksheet
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Worksheet 10 - Spring 1996

For Students 11th - Higher Ed
For this math worksheet, students investigate how a series can apply the law of convergence. They also test the functions using convergence.
Worksheet
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Worksheet 13

For Students 11th - Higher Ed
In this math worksheet, learners define how for a given value of x, the series S(x) converges. Then they prove how convergence can be absolute.
Worksheet
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Worksheet 12 - Spring 1996

For Students 11th - Higher Ed
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.
Worksheet
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Worksheet 21

For Students 11th - Higher Ed
For this math worksheet, students find the interval convergence of the series. They also practice writing a series and the functions. Students find the Taylor series about zero.
Worksheet
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Worksheet 16 Practice Exam 1

For Students 11th - Higher Ed
In this math worksheet, students consider the Taylor series and the Fibonacci sequence. They define the interval of convergence of the Taylor series.
Worksheet
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Worksheet 22

For Students 11th - Higher Ed
In this math activity, learners determine using geometry the radius of convergence of the Taylor series centered at x0 = 0 for the function
Worksheet
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Integration Review

For Students 11th
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.
Worksheet
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Worksheet 14 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, learners Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.
Worksheet
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Worksheet 30

For Students 11th - Higher Ed
In this math worksheet, students solve the differential equation by means of a power series about the point x0 = 2. Then they find the recurrence relation and the first four terms.
Lesson Plan
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Worksheet 13 - Derivative

For Teachers Higher Ed
In this derivative of a power worksheet, students compare derivatives of functions, and graph functions. This one-page worksheet contains five multi-step problems.
Lesson Plan
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Worksheet 11 - Intervals

For Teachers Higher Ed
In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.
Lesson Plan
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What Happens on Average

For Teachers 5th
Fifth graders are introduced to convergence of sequences based on averaging previous terms in the sequence. The power of the "fill-down" function in spreadsheets is exploited. By using various starting numbers, and inferring the limit,...
Activity
Mathematics Archives

Math Archives: Virtual Calculus Power Series

For Students 9th - 10th
This site provides a general overview of the power series, complete with a detailed example and theorem.
Handout
Washington State University

Washington State University: Power Series and Convergence: Power Series Review [Pdf]

For Students 9th - 10th
This PDF reviews the various power series and explains convergence.
Activity
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...