# Limits of Functions Teacher Resources

Find Limits of Functions lesson plans and worksheets
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#### AP Calculus AB Unit 1: Limits and Continuity

For Students 11th - 12th
Flip your classroom and teach AP Calculus remotely! Unit 1 of the course focuses on limits and continuity. Informative videos introduce each lesson's topic, and the resource packets include worksheets, practice solutions, and two...
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#### AP Calculus AB Unit 2: Differentiation - Definition and Fundamental Properties

For Students 11th - 12th
The eleven lessons in Unit 2 of the flipped math calculus course take up the definition and fundamental differentiation properties. Lessons include teaching scholars how to use their knowledge of the formula to find the average rate of...
Worksheet
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#### Calculus Worksheet: Limits of Functions (2)-Squeeze Theorem

For Students 11th - 12th
In this limits of functions worksheet, students find the limits of 4 functions. In this limits worksheet, sstudents are given two functions. They find the limits of multiplying these two functions. Students find the limits of three more...
Worksheet
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#### Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
Lesson Plan
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#### Is There a Limit to Which Side You Can Take?

For Teachers 9th - 12th Standards
Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
Worksheet
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#### Calculus Worksheet: Limits of Functions (1)

For Students 11th - 12th
For this calculus worksheet, students determine the limit of the given functions.  The two page worksheet contains four problems.  Answers are provided.
Performance

#### Skate Ramp

For Teachers 9th - 12th Standards
Going up and down makes a more exciting ride. Pupils recall what they know about continuity and limits of functions. Working in groups, classmates design a skateboard ramp that meets a given set of criteria, using at least three...
Worksheet
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#### Limits of Functions

For Students 10th - 12th
In this limits of functions worksheet, students find the limits of given functions. This one-page worksheet contains 3 multi-step problems.
Worksheet
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#### Open Sets, Limits, Continuity

For Students Higher Ed
In this open sets worksheet, students give characteristics of an open set under given conditions. They graph functions and define limits. This two-page worksheet contains 3 multi-step problems with explanations.
Worksheet
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#### Calculus Worksheet: Limits of Functions (1)

For Students 11th - 12th
Students sketch the graph of 4 functions and define the domain and range of each.
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#### Easy Worksheet: Limits 2

For Students 11th - 12th
In this limits worksheet, students solve 4 short answer problems. Students identify the limit of a function for a specified value given a graph, equation, or piecewise function.
Worksheet
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#### Limits and Functions

For Students 11th - 12th
In this calculus worksheet, students solve for the limit using special functions such as e and trig. They discuss the special rules differentiating these functions when it comes to taking the limit as x approaches zero.
Instructional Video7:23
Mathispower4u

#### Finding Function Values

For Students 8th - 11th Standards
Prepare early for higher-level math. Viewers of a short video learn to evaluate functions for specified values. They also see how to substitute x + h to evaluate a difference quotient like the one used when algebraically determining...
Worksheet
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#### Limits of Functions as Undefined X-Values and L'Hopital's Rule

For Students Higher Ed
In this limits worksheet, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
Worksheet
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#### Limits of Functions

For Students 10th - 12th
In this limits worksheet, students find the limits of given functions. This two-page worksheet contains 4 multi-step problems.
Worksheet
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#### Easy Worksheet: Limits

For Students 11th - 12th
In this limits worksheet, students solve 4 short answer problems. Students find the limits of trig, linear, root, and rational functions as x approaches a specified value.
Worksheet
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#### Limits of Functions

For Students 12th
In this calculus instructional activity, 12th graders solve problems containing limits using the rules of limits. There are 2 questions on this instructional activity requiring students to show knowledge of the rules of limits.
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...
Lesson Plan
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#### Worksheet 5 - Integration

For Teachers Higher Ed
For this integration worksheet, students evaluate the divergence or convergence of improper integrals. They explain limits of functions. In this one-page worksheet, students solve six multi-step problems.
Worksheet
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#### Limits, Continuity and Differentiability

For Students Higher Ed
In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...
Worksheet
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#### Limits and Functions

For Students 12th - Higher Ed
In this function worksheet, students determine the limits and draw graphs of given functions. They identify continuous and noncontinuous functions. Students solve mixture problems and prove or disprove given limits. This three-page...
Worksheet
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#### Limits, Continuity and Local Linearity

For Students Higher Ed
In this continuity worksheet, students compute limits, identify continuity, compute the rate of change, determine the instantaneous rate, and graph functions. This eight-page worksheet contains fifteen problems.
Worksheet
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#### Limits and Functions

For Students 12th - Higher Ed
In this function worksheet, students compute the limits of given functions, they use differentials to estimate quantities, they compute the change in functional value and determine an equation for a line tangent to a graph. This...
Worksheet
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#### Limits and Functions

For Students 11th - 12th
In this calculus activity, students apply the properties of limits as they solve 40 functions with x approaching 1.