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Unknown Type
Paul Dawkins

Paul's Online Notes: Computing Limits: Practice Page

For Students 9th - 10th
Practice exercise reviews how to compute limits using the limit properties. Also practices computing limits of piecewise functions and use of the Squeeze Theorem.
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Unit Plan
Shmoop University

Shmoop: Multiplying and Dividing Limits Examples

For Students 10th - 12th
Examples of multiplication and division of limits with the solutions.
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Unit Plan
Shmoop University

Shmoop: Adding and Subtracting Limits Examples

For Students 10th - 12th
Examples of addition and subtraction with limits including solutions to the example problems.
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Activity
Analyze Math

Analyze Math: Properties of Limits

For Students 9th - 10th
Students examine the properties of limits. Theorems and examples with detailed solutions are included in the tutorial.
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Activity
Texas Instruments

Texas Instruments: Piecewise Functions

For Teachers 9th - 10th Standards
In this activity, students investigate piecewise functions for continuity and differentiability.
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Activity
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Limits at Infinity

For Students 9th - 10th
This site from the Northeast Parallel Architectures Center of Syracuse University is a great site for studying the limits at infinity. This page contains six links to information on the subject. Just click on the one you want information...
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Graphic
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Infinite Limits

For Students 9th - 10th
This Northeast Parallel Architectures Center at Syracuse University site provides a brief description and examples of infinite limits of functions at infinity.
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Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Formal Definition of a Limit

For Students 9th - 10th
This Math Forum site is an inquiry by a student about the definition of a limit with a response by a professor. If you are confused by the student's inquiry don't worry, take a look at the doctor's response which explains what a limit is...
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Math Medics

S.o.s. Math: Limits and Infinity

For Students 9th - 10th
Graphs a limit with vertical asymtopes and shows the limits when x approaches 0 and 0 from left and right. Contains many examples.
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Activity
Texas Instruments

Texas Instruments: Taking It to the Limit

For Teachers 9th - 10th
Students explore the concept of limits, both finite and infinite, using the graphing calculator. Each rule has a set of examples and a section for the students to try other examples to create a basis of understanding of each of the rules.
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Handout
Math Warehouse

Math Warehouse: Limits in Calculus

For Students 9th - 10th Standards
Features numerous exercises relating to limits in calculus. Includes links, calculators, lessons, and worksheets.
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Unit Plan
Paul Dawkins

Paul's Online Notes: Calculus I: Proof of Various Limit Properties

For Students 9th - 10th
The tutorial proves some of the basic properties and facts about limits. Topics discussed are limit properties, triangle inequality, continuity, and limits at infinity. Class notes, definitions, and examples with detailed solutions are...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Definition of a Limit

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...
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Unknown Type
Paul Dawkins

Paul's Online Notes: The Definition of the Limit: Practice Problems

For Students 9th - 10th
Practice exercise provides problems that review limits including how to use the definition to compute a limit.
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Unknown Type
Paul Dawkins

Paul's Online Notes: Limit Properties: Practice Page

For Students 9th - 10th
Provides nine practice problems that review the properties of limits used in computing limits.
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Activity
Texas Instruments

Texas Instruments: Population and Limits

For Teachers 9th - 10th
In this activity, students will consider a model of a population living in an unfavorable habitat. Given an initial population students will describe the population as timepases.
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Handout
Paul Dawkins

Paul's Online Notes: Limits at Infinity Part 1

For Students 10th - 12th
Online notes with examples and solutions.
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Continuidad De Funciones

For Students 9th - 10th
In Spanish. In this interactive unit you will be able to tell if a function is continuous from its graph, understand the concept of continuity of functions and to distinguish between the different types of discontinuities either...
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Activity
Texas Instruments

Texas Instruments: Understanding Limits

For Teachers 9th - 10th
This activity is designed to show students how to use a graphing calculator to find a limit by graphing, investigating a table, and by using the calc menu. (Continued. See "before the activity.")
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Handout
Math Open Reference

Math Open Reference: A Formal View of Limits

For Students 9th - 10th
Explore the triangle inequality theorem with this helpful reference tool. Provides a detailed definition and an interactive activity that enhances further explanation. Includes links to related topics.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Intermediate Value Theorem

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Analytical solutions of polynomial and rational equations. Intermediate Value theorem and Bounds on Zeroes. Students examine guided notes, review guided practice,...
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Unit Plan
Mathematics Archives

Math Archives: Visual Calculus: Definition of Limits

For Students 9th - 10th
This site gives the definition of a limit and many examples of finding delta given an epsilon to help clarify the process.
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Handout
Math Open Reference

Math Open Reference: Limits: An Informal Overview

For Students 9th - 10th
Gain an understanding of limits with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
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Activity
Other

Seton Hall University: Limits

For Students 9th - 10th
Detailed tutorial which defines, explains, and has examples of various function limits.