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Taylor Series: Natural Number
In this calculus worksheet, learners apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.
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Taylor Series
In this calculus worksheet, 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.
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Taylor Series and Taylor Polynomials
In this math worksheet, students solve problems that focus upon the use of the Taylor Series and Taylor Polynomials. Then they substitute and differentiate each equation.
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Introduction to Taylor Series
In this Taylor Series worksheet, students explore functions with an infinite series. They complete an integral of convergence and explore the degree of the polynomials. This four-page worksheet contains four multi-step problems.
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Introduction to Taylor Series
In this Taylor series worksheet, students determine the difference between a Taylor series and a Taylor polynomial. They solve function problems. This two-page worksheet contains seven problems.
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Taylor and Maclaurin Series
In this Taylor and Maclaurin series worksheet, students answer 10 questions about Taylor and Maclaurin series. Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.
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Discussion Sheet 11: Taylor Series and Maclaurin Series
In this Taylor and Maclaurin series worksheet, students determine the nonzero terms in a series for a given function. They determine the limits and graph the function. This two-page worksheet contains examples, explanations, and six...
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Taylor Series
In this Calculus worksheet, students use Taylor's inequality to show that the series converges to sin(x). The two page worksheet contains seven questions. Answers are not included.
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Taylor Seies
In this calculus worksheet, students find the Taylor series for each function adn give the interval where the series converges. The two page worksheet contains nine questions. Answers are not included.
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Worksheet 39 - Polar Coordinates
In this polar coordinates worksheet, students graph polar coordinates and determine the values of a given series. This one-page worksheet contains 14 multi-step problems.
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Applications of Taylor Polynomials
In this math worksheet, students investigate the applications of using Taylor Polynomials. Then they use the derivative definition of a Taylor Series to compute the popular functions.
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Visualizing Taylor Series and Fourier Series Approximations
In this math instructional activity, students read the examples of the Taylor series and geometric series. Then they investigate the application of examining the Taylor polynomials.
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Worksheet 22
In this math worksheet, students determine using geometry the radius of convergence of the Taylor series centered at x0 = 0 for the function
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Rates of Convergence of Functions and Sequences
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 18 - Spring 1996
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
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Error and Power Series
In this college level calculus activity, 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 activity contains seven...
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Intervals of Convergence
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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Taylor Polynomials and Taylor Series
In this Taylor polynomials and series activity, students identify a tangent line to a function and use the absolute value test to determine the values of x. This five-page activity contains four problems, plus explanations and examples.
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Worksheet 17
In this math worksheet, students practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.
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Using Fourier Series
In this Fourier series instructional activity, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree...
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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.
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Worksheet 38-Spring 1996
For this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
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Integration Review
In this algebra worksheet, 11th graders solve a series and identify if the series will diverge or converge based on n equals. There are 5 questions.
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Math 16C: Worksheet 10
In this calculus worksheet, students answer eleven short-answer problems regarding differentiation methods, common functions, the Maclaurin series, and the Taylor series.