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
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.
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Ratio Test
For 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
For this calculus worksheet, high schoolers 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 midpoint...
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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 instructional activity, students find the Taylor series for each function adn give the interval where the series converges. The two page instructional activity 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
In this math worksheet, learners 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 worksheet, 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 learning exercise, 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 worksheet, 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 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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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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Estimating Pi as a Length
In this pi learning exercise, 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....
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Intermediate Electromagnetism and Electromagnetic Induction
In this electrical circuit worksheet, students answer a series of 24 open-ended questions about electromagnetism and electromagnetic induction. This worksheet 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.