Curated OER
Worksheet 4 - function
In this function worksheet, students identify functions, express decimals as fractions and write decimals as a geometric series. This one-page worksheet contains six multi-step problems.
Curated OER
Introduction to Limits
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
Curated OER
Discussion Sheet 8
In this math worksheet, 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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Discussion Sheet 8
In 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.
Curated OER
Questions over Chapter 12: Calculus and Analytic Geometry
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...
Curated OER
Improper Integrals
In this improper integral activity, students compare improper integrals, identify the convergence or divergence, and sketch pictures of answers. This four-page activity contains approximately ten problems.
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Discussion Sheet 7
In this math worksheet, 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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Discussion Sheet 9
In this math activity, 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.
Curated OER
Alternating Series Test
In this math worksheet, students practice using the series test for convergence. Then they look at the proofs to see if the series satisfy the conditions.
Curated OER
Exploring Infinite Series through Baravelle Spirals
Learners are introduced to the concept of convergent infinite series using a recursive geometric construction. They explore the concept of a convergent infinite series using partial sums. Students use formal calculations, visualizations,...
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Infinite Geometric Series
In this geometric series learning exercise, students examine a given geometric series to determine if the series converges or divergeas. They evaluate and determine the common ratio of a geometric series. This four-page learning...
Curated OER
Infinite Series: Converge or Diverge
In this infinite series worksheet, students determine if a series converges or diverges. Also, they estimate the value of the series. This two-page worksheet contains approximately 45 problems. This is a hand-written worksheet.
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Converging Series
In this functions worksheet, learners calculate the average value, continuity, and the radius of convergence. There are 17 multiple choice questions.
Curated OER
Math 16C: Worksheet 11
In this calculus worksheet, students answer 13 short-answer problems regarding number sequences, limits, convergence, divergence, polynomials and functions.
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 1)
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 3)
Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...
College Board
AP® Calculus: Special Focus - Infinite Series
Read a series to develop an understanding of series. The special focus professional development on infinite series consists of eight articles. Articles contain information strictly for teachers along with aspects to incorporate into the...
Curated OER
Numerical Analysis
In this numerical analysis worksheet, students plot functions, predict the number of iterations, and identify the convergence criteria of the function. This two-page worksheet contains eight problems.
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Numerical Analysis: Sequence
In this sequence activity, students explore the convergence of a sequence and the rate of a sequence. They explore problems and identify the order of convergence. This three-page activity contains approximately six problems. ...
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Infinite Geometric Series
Eleventh graders investigate infinite geometric series. In this Algebra II lesson, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series. The TI-nspire handheld...
Curated OER
Matter and Motion
In this matter and motion worksheet, pupils 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 series...
Curated OER
Improper Integrals
In this improper integrals worksheet, learners determine whether each integral diverges or converges. They answer 8 questions and must justify each answer with a mathematical proof.
Curated OER
Understanding Limits
In this understanding limits, students determine the convergence of given sequences. They use properties of limits to evaluate functions. This two-page worksheet contains examples and explanations, as well as eleven problems.
Curated OER
Limit Comparison Test
In this calculus worksheet, 11th graders solve 7 problems where they determine the convergence and divergence properties using the limit comparison test.
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