Limits and Continuity Teacher Resources

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

Video shows how to use limits to determine if a function is continuous at a given point. [4:23]

Video lesson expanding the simple definition of a limit into the epsilon-delta definition of a limit by looking at a specific graph of a function. [12:48]

The tutorial investigates numerical and graphical approaches to calculating the limit of a function. Examples with detailed solutions are included.

Learners explore limits. Topics investigated are continuity, limits at infinity, limit properties, tangent lines, and rates of change. Class notes, definitions, and examples with detailed solutions are included. The class notes are...

[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...

Limit rules for sums, differences, products, quotients, powers, and roots of simpler functions.

This site gives the definition of a limit and many examples of finding delta given an epsilon to help clarify the process.

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.

Practice continuity at a point.

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

[Free Registration/Login may be required to access all resource tools.] Analytical solutions of polynomial and rational equations. Intermediate Value theorem and Bounds on Zeroes. Students examine guided notes, review guided practice,...

Students examine the properties of limits. Theorems and examples with detailed solutions are included in the tutorial.

Graphs a limit with vertical asymtopes and shows the limits when x approaches 0 and 0 from left and right. Contains many examples.

In this activity, students will consider a model of a population living in an unfavorable habitat. Given an initial population students will describe the population as timepases.