Limits of Functions Teacher Resources

In this limits of functions activity, students find the limits of 4 functions. In this limits activity, sstudents are given two functions. They find the limits of multiplying these two functions. Students find the limits of three more...

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.

Calculus high schoolers 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...

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

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...

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

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.

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

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.

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.

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...

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.

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

In this limits activity, students solve 4 short answer problems. Students find the limits of trig, linear, root, and rational functions as x approaches a specified value.

In this calculus worksheet, 12th graders solve problems containing limits using the rules of limits. There are 2 questions on this worksheet requiring students to show knowledge of the rules of limits.

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...

In 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.

Learners calculate the limits of functions. In this calculus lesson, students find the left and right handed limits of different functions. They use the Ti Navigator to drag the function around as they study limits.

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...

In this function instructional activity, 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...

In this continuity activity, students compute limits, identify continuity, compute the rate of change, determine the instantaneous rate, and graph functions. This eight-page activity contains fifteen problems.

For 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...