# Limits of Functions Teacher Resources

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#### AP Calculus AB Unit 1: Limits and Continuity

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

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...

Curated OER

#### Calculus Worksheet: Limits of Functions (2)-Squeeze Theorem

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...

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#### Finding the Limit: Piecewise Functions and Graphs

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.

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#### Is There a Limit to Which Side You Can Take?

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.

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#### Calculus Worksheet: Limits of Functions (1)

For this calculus worksheet, students determine the limit of the given functions. The two page worksheet contains four problems. Answers are provided.

Radford University

#### Skate Ramp

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...

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#### Limits of Functions

In this limits of functions worksheet, students find the limits of given functions. This one-page worksheet contains 3 multi-step problems.

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#### Open Sets, Limits, Continuity

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.

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#### Calculus Worksheet: Limits of Functions (1)

Students sketch the graph of 4 functions and define the domain and range of each.

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#### Easy Worksheet: Limits 2

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.

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#### Limits and Functions

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.

Mathispower4u

#### Finding Function Values

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...

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#### Limits of Functions as Undefined X-Values and L'Hopital's Rule

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.

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#### Limits of Functions

In this limits worksheet, students find the limits of given functions. This two-page worksheet contains 4 multi-step problems.

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#### Easy Worksheet: Limits

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.

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#### Limits of Functions

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.

University of Northern Texas

#### Continuity

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 5 - Integration

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.

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#### Limits, Continuity and Differentiability

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...

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#### Limits and Functions

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...

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#### Limits, Continuity and Local Linearity

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.

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#### Limits and Functions

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...

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#### Limits and Functions

In this calculus activity, students apply the properties of limits as they solve 40 functions with x approaching 1.