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Interactive
CK-12 Foundation

Infinite Limit Type: Properties of Limits

For Students 11th - Higher Ed Standards
Limits can provide some valuable information about graphs. A slider interactive lets learners see the behavior of a graph around asymptotes. They investigate relationships between limits and asymptotes.
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AP Test Prep7:55
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Flipped Math

Calculus AB/BC - Infinite Limits and Vertical Asymptotes

For Students 10th - 12th
Infinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...
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Interactive
CK-12 Foundation

Infinite Limit Type: Asymptotes and End Behavior Question

For Students 11th - Higher Ed Standards
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...
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Interactive
CK-12 Foundation

Infinite Limit Type: Evaluating Limits of Rational Functions

For Students 11th - Higher Ed Standards
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
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Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
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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Worksheet
Curated OER

Infinite Limits and Horizontal Asymptotes

For Students Higher Ed
In this infinite limit worksheet, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page worksheet contains examples and explanations and...
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Worksheet
Curated OER

Continuity and Limits

For Students 11th - 12th
In this continuity and limits worksheet, students solve and complete 4 different types of problems. First, they determine which of the limits shown exist and then, evaluate them. They also find which functions are continuous at a given...
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Lesson Plan
Curated OER

Finding The Sum of an Infinite Series

For Teachers 9th - 12th
Students examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They write...
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Lesson Plan
Curated OER

Infinite Geometric Series

For Teachers 11th
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...
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Worksheet
Curated OER

Limits at Infinity and Horizontal Asymptotes

For Students Higher Ed
In this limits worksheet, students sketch the graph of a function. They complete three fill in the blank questions. Students solve fifteen limits problems. They use L'Hopital's Rule to solve four problems. Students find the vertical...
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Worksheet
Curated OER

Introduction to Infinite Sequences

For Students 11th - Higher Ed
For this infinite sequences worksheet, students discover the convergence and divergent behavior of infinite sequences.  This worksheet references L'Hopital's rule.
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Worksheet
Curated OER

Trig Functions

For Students 11th - 12th
In this trig functions worksheet, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They also find...
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Worksheet
Curated OER

Convergence Tests for Infinite Series

For Students 12th - Higher Ed
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
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PPT
University of Northern Texas

Continuity

For Teachers 11th - Higher Ed
Continue a study of calculus by using a slideshow to introduce the concept of continuity. After defining the term, the presentation provides examples of functions that are discontinuous and introduces different types of...
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Worksheet
Curated OER

Limits and Continuity

For Students 11th - 12th
In this calculus worksheet, students work problems containing functions, limits and dealing with continuity. They evaluate functions and use the limits theorem to help find the correct answer. There are 26 questions.
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Lesson Plan
Curated OER

Worksheet 30 - Definite Integrals

For Teachers Higher Ed
In this integral worksheet, students find the volume of solids, compute definite integrals, and identify the limit of the terms. This one-page worksheet contains 7 multi-step problems.
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Worksheet
Curated OER

Infinite Series

For Students 11th - Higher Ed
In this math instructional activity, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Worksheet
Curated OER

The Integral Test

For Students 12th - Higher Ed
In this integral test, students determine the limits, give partial sums of infinite series, explore geometric series, and use the Integral Test to determine if a function converges. This two-page worksheet contains six multi-step problems.
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eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
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Worksheet
Curated OER

Exploring Infinite Sequences, Part II

For Students 8th - 10th
In this algebra worksheet, students identify the nth term of the sequence. They find the missing term in the pattern and what theorem justifies their choice. There are 12 questions.
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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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Lesson Plan
Curated OER

Repeating Decimal as Approximation

For Teachers 6th - 9th Standards
You are used to teaching repeating decimals with bar notation that keeps us from writing that number over and over again; now teach what the over and over again represents. This activity allows your mathematicians to explore the infinite...
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Lesson Plan
Curated OER

Environmental Limitations

For Teachers 7th
Seventh graders study the environmental factors that affect population growth. In this biology lesson, 7th graders create a city following certain criteria. They present their posters in class.
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Lesson Plan
Curated OER

Lesson- Infinite Potential Well

For Teachers Higher Ed
Student create a numerical model which integrates Schrodinger's equation in 1 dimension. They discuss the properties of the solutions which match the boundary conditions. Student discusss any limitations if there are any in there model.