CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 4)
Take a look at another alternating sequence. The resource provides a graphical display of a sequence that alternates between two values. Pupils use the display to determine whether the sequence has a limit. Given a theory of limit,...
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Worksheet 30
For 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.
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Ratio Test
In this college level Calculus worksheet, students use the ratio test to determine if a series converges or diverges. The one page worksheet contains six problems. Solutions are not provided.
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Series Review VI
In this college level calculus worksheet, students use the ratio test to determine if a seriesconverges or diverges. The two page worksheet contains six practice problems. Answers are not included.
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Derivatives
In this calculus worksheet, students solve functions by using the derivatives. The calculate the maximum and minimum of each function presented. There are 28 questions.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
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Exploring Infinite Series
Learners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.
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Taylor Seies
In this calculus worksheet, learners 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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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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Worksheet 17
For 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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Worksheet 7
In this math learning exercise, students examine the values of the series and determine how they could be defined as divergent. They also evaluate the Squeeze Theorem.
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Worksheet 17
In this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
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Worksheet 15 - Spring 1996
In this math activity, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.
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Taylor Series
In this Calculus activity, students use Taylor's inequality to show that the series converges to sin(x). The two page activity contains seven questions. Answers are not included.
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Error and Power Series
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...
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Estimating Pi as a Length
In this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students...
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Intermediate Electromagnetism and Electromagnetic Induction
In this electrical circuit learning exercise, students answer a series of 24 open-ended questions about electromagnetism and electromagnetic induction. This learning exercise is printable and the answers are revealed online.
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Iterating the Function and Complex Numbers
Students identify the end behavior of polynomial graphs. For this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
![Washington State University: Power Series and Convergence: Power Series Review [Pdf] Handout](https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png "Washington State University: Power Series and Convergence: Power Series Review [Pdf] Handout")
Washington State University
Washington State University: Power Series and Convergence: Power Series Review [Pdf]
This PDF reviews the various power series and explains convergence.
Mathematics Archives
Math Archives: Visual Calculus: Comparison Test
Visual Calculus briefly states the comparison test theorem with the proof and exercise solutions as links.
Math Medics
S.o.s. Math: Absolute Convergence
This lesson provides a general overview of absolute convergence, complete with a summary and several examples.
Mathematics Archives
Math Archives: Visual Calculus: Absolute Convergence
A good site explaining absolute convergence. The site has the definition, theorem and examples.
Other
Math Pages: Mean Partial Sums of Non Convergent Series
This is a wordy and comprehensive site explaining the mean partial sums of non-convergent series.
Mathematics Archives
Math Archives: Visual Calculus: Ratio Test
Visual Calculus offers a discussion and exercises concerning the ratio test for convergence of series.