Limits of Functions Teacher Resources

Find Limits of Functions lesson plans and worksheets
Showing 88 resources
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Worksheet
Curated OER

Sudoku Puzzle with Limits

For Students 11th - 12th
In this limit problems worksheet, students solve 28 limits problems.  Students find the limits of various functions as x approaches a certain number.  Students solve a sudoku puzzle with their answers.
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App
Hump Software

The Writing Machine

For Students Pre-K - 3rd
Introduce your learners to the letters of the alphabet. They will tap to hear the name of each letter and see a word beginning with that letter appear on the screen. The highly repetitive nature of this app could be a good way to...
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Worksheet
Curated OER

Limit of a function

For Students 12th
In this calculus worksheet, 12th graders determine the limit of a function at the indicate value.  The one page worksheet contains eighteen problems.  Answers are not included. 
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Worksheet
Curated OER

Math 155: Worksheet 9 - Inverse Function

For Students Higher Ed
For this inverse function worksheet, students find the derivative of functions, identify the inverse function and compute limits of the function. This two-page worksheet contains 15 problems.
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Worksheet
Curated OER

Hyperbolic Functions

For Students 11th - 12th
Students evaluate6 functions. They prove three identities and solve four differential problems. THere are 13 problems total.
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Worksheet
Curated OER

Supplemental Exercises for Section 2.3

For Students Higher Ed
In this limits worksheet, students solve twelve computation (or short answer) problems. Problems are grouped by difficulty. The answers to five of the problems are included on the worksheet.
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Worksheet
Curated OER

ESP Quiz 9

For Students Higher Ed
In this improper integrals worksheet, students evaluate four computation (short answer) problems. They use L'Hopital's rule for the fourth problem.
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Worksheet
Curated OER

Supplemental Exercises for section 2.4

For Students 12th - Higher Ed
Given examples and formulas at the top of the page, learners solve eleven short answer (computation) problems. The answers to three of the problems is included on the learning exercise.
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Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
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Lesson Plan
EngageNY

Ferris Wheels—Tracking the Height of a Passenger Car

For Students 10th - 12th Standards
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
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Lesson Plan
Curated OER

Approaching Limits

For Teachers 8th - 12th Standards
With the assistance of their Ti-84/Ti-83 Plus calculators, students develop a foundation for the limiting process as well as estimate limits from graphs and tables of values. They view how a function behaves as the input approaches a...
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Lesson Plan
Texas Instruments

A Tale of Two Lines

For Teachers 9th - 12th Standards
Students graph systems of equation. In this calculus lesson plan, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
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Lesson Plan
Curated OER

Limits at Infinity

For Teachers 9th - 12th Standards
Young mathematicians solve problems involving limits in this calculus lesson. They identify the value of x as the limit approaches positive and negative infinity. Learners study the magnitude as x increases in value.
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Lesson Plan
Curated OER

Epsilon-Delta Window Challenge

For Teachers 9th - 12th Standards
Students graph functions and analyze them. In this calculus lesson, students define limit formally using Epsilon-Delta. They use the TI to graph the function and analyze it.
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Lesson Plan
Curated OER

Limit of a Sequence

For Teachers 10th - 12th Standards
Young scholars solve problems using limits in this calculus lesson. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
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Lesson Plan
Curated OER

Average Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change

For Teachers 9th - 12th Standards
Pupils, with the assistance of their TI-84 Plus / TI-83 Plus calculators, distinguish meanings from right, left and symmetric difference quotients that include rate of change and graphical interpretations. They utilize symmetric...
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Lesson Plan
Curated OER

Exploring the Area Under a Curve

For Teachers 9th - 12th Standards
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Lesson Plan
Curated OER

Introduction to Limits

For Teachers 12th
Twelfth graders problem solve limit/function value situations. They solve the problems using a graphing calculator, which allows them to see the function's graph, and infer the function value and limit from the graph.
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Lesson Plan
Curated OER

Calculus

For Teachers 10th - Higher Ed
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the instructional activity is on the interplay between the geometric and analytic information.
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Unit Plan
Analyze Math

Analyze Math: Find Limits of Functions in Calculus

For Students 9th - 10th
Students learn about the limits of functions using a variety of different method. The resource consists of practice exercises and examples with solutions.
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Instructional Video
Khan Academy

Khan Academy: Analyzing Unbounded Limits: Mixed Function

For Students 11th
Sal analyzes the behavior of f(x)=x/[1-cos(x-2)] around its asymptote at x=2. [6:16]
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Instructional Video
Khan Academy

Khan Academy: Analyzing Unbounded Limits: Rational Function

For Students 11th
Sal analyzes the behavior of f(x)=-1/(x-1)^2 around its asymptote at x=1.
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Activity
Texas Instruments

Texas Instruments: Calculus With the Ti 89

For Teachers 9th - 10th
In this Computer Algebra System (CAS) activity, students will explore the concept of limits of functions, and use CAS to demonstrate the definition of derivative.
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Instructional Video
Khan Academy

Khan Academy: Limits by Direct Substitution

For Students 10th - 12th
Sal explains how you can easily find limits of functions at points where the functions are continuous: simply plug in the x-value into the function! Later we will learn how to find limits even when the function isn't continuous.

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