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Lesson Plan
Curated OER

Worksheet 6 - Improper Integrals

For Teachers Higher Ed
In this improper integral worksheet, students determine the convergence or divergence of functions. They explore the sequence in the series. This one-page worksheet contains six multi-step problems.
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Worksheet
Curated OER

Infinite Geometric Series

For Students 10th - 12th
In this geometric series worksheet, 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 worksheet contains 28...
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Worksheet
Curated OER

Math 16C: Worksheet 11

For Students 12th - Higher Ed
In this calculus learning exercise, students answer 13 short-answer problems regarding number sequences, limits, convergence, divergence, polynomials and functions.
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Worksheet
Curated OER

Determine if Series Converge or Diverge in Five Multi-part Problems

For Students 12th - Higher Ed
In this series worksheet, students determine if series converge, converges absolutely, or diverge.  Students also state what test they used to arrive at their solutions.
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Lesson Plan
Curated OER

Matter and Motion

For Teachers 11th - Higher Ed
In this matter and motion worksheet, students 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...
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Worksheet
Curated OER

Summary Worksheet: Sequences

For Students Higher Ed
In this sequence worksheet, students determine whether the sequence is convergent or divergent. They find the limit of a given sequence, and solve distance problems. Students explore partial sums of an infinite series and use the...
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Worksheet
Curated OER

Infinite Series: Convergent or Divergent

For Students 12th - Higher Ed
In this infinite series worksheet, students use the Integral Test to determine if a function is convergent or divergent. They use the Comparison Test to prove convergence and calculate partial sums. This two-page worksheet contains...
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Worksheet
Curated OER

Comparison Test

For Students 12th - Higher Ed
In this comparison test worksheet, students use the comparison test or the limit comparison test to determine if a series is convergent or divergent. They give examples of a series. This two-page worksheet contains seven multiple...
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Worksheet
Curated OER

Sequence Problems

For Students Higher Ed
In this sequence activity, students compute the first five terms of a sequence and determine whether each sequence converges or diverges. They determine the limits of given sequences. This two-page activity contains approximately 45...
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Worksheet
Curated OER

Understanding Limits

For Students Higher Ed
In this understanding limits, students determine the convergence of given sequences. They use properties of limits to evaluate functions. This two-page activity contains examples and explanations, as well as eleven problems.
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Worksheet
Curated OER

Divergence and Convergence

For Students 12th - Higher Ed
In this divergence and convergence activity, students complete a comparison test for improper integrals. This four-page activity contains approximately ten problems.
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Worksheet
Curated OER

Introduction to Infinite Series

For Students Higher Ed
In this infinite series worksheet, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page worksheet contains explanations, examples and approximately five problems.
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Worksheet
Curated OER

Improper Integrals

For Students Higher Ed
In this integral instructional activity, students determine the convergence or divergence of a given integral. This two-page instructional activity contains two problems.
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Worksheet
Curated OER

Worksheet 12: Sequences

For Students Higher Ed
In this sequences learning exercise, students determine whether sequences converge or diverge. They write their complex numbers in polar form and find solutions for given equations. This two-page learning exercise contains twenty-five...
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Worksheet
Curated OER

Infinite Series: Converge or Diverge

For Students Higher Ed
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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Unknown Type
University of Vienna (Austria)

University of Vienna: Sequences Convergent or Divergent?

For Students 9th - 10th
Given a set of eight sequence formulae, determine whether each is convergent or divergent. After completing the exercises, the site returns a score to judge understanding of such sequences.
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Handout
Wolfram Research

Wolfram Math World: Harmonic Series

For Students 9th - 10th
This MathWorld site provides a general overview of the harmonic series.
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Handout
Math Open Reference

Math Open Reference: Integral Test

For Students 9th - 10th
A handy reference guide to the integral test. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
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Handout
Wolfram Research

Wolfram Math World: Divergent Series

For Students 9th - 10th
This page discusses divergent series, providing links to more detailed information about various aspects of divergent series.
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Handout
Wolfram Research

Wolfram Math World: Divergence Test

For Students 9th - 10th
This is a brief statement of a divergence test that can be used to determine whether or not a given series converges or diverges. Provides no explanation, but simply a statement.
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Activity
Other

Seton Hall University: The Divergence Test

For Students 9th - 10th
This lesson, which is provided for by the Seton Hall University, explains the divergence test.
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Handout
Wolfram Research

Wolfram Math World: Convergent Sequence

For Students 9th - 10th
This site from MathWorld explains convergent sequences with links to related information. The information is very brief, but examples and formulas are provided.