Limits of Functions Teacher Resources

This page discusses the Leibniz Integral Rule, which concerns "the differentiation of a definite integral whose limits are functions of the differential variable."

This Northeast Parallel Architectures Center at Syracuse University site provides a brief description and examples of infinite limits of functions at infinity.

These questions address the topics of limits, continuity, and discontinuity.

This site provides a video tutorial on the topic of trigonometric limits. The video considers limits at infinity for sine, cosine and tangent functions.

Features numerous exercises relating to limits in calculus. Includes links, calculators, lessons, and worksheets.

Students can use the graphing calculator to explore the limits of the functions sin(x)/x and (cos(x)-1)/x as x approaches zero.

In Spanish. This interactive unit is intended to show you how to calculate the derivative of a function and the application of the derivative in other sciences.

This site provides an explanation on the limits of trigonometric functions. Topics included on the site are infinite limits, no limits at infinity and a fundamental limit.

The topic summary outlines limits and continuity. Some topics reviewed are limits numerically, limits geometrically, limits algebraically, and continuous functions. The resource consists of definitions, notes, and examples.

Explanation, examples, and independent practice of limits.

This site from the Massachussets Institute of Technology has links to various topics in calculus.

The activity investigates differentiability and continuity. The resource consists of online textbook chapters and exam questions with solutions on non-differentiable behavior. All documents were created from scanned original files and...

Practice continuity at a point.

Sal analyzes the limits at infinity of three different rational functions. He finds there are three general cases of how the limits behave.

Sal is asked which of the following two functions is continuous at x=3.

Sal finds the limits at positive and negative infinity.