Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Limits and Continuity
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.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Limits and Continuity: Algebraic Approach
The resource investigates limits and continuity using an algebraic approach. Topics examined are closed-form functions and evaluating a limit using simplification. Students learn about the calculus concepts through notes and examples.
Texas Instruments
Texas Instruments: Limits and Continuity
These questions address the topics of limits, continuity, and discontinuity.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Limits and Continuity
The resource investigates limits and continuity. Topics examined are left and right limits. Students learn about the calculus concepts through notes and examples.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Limits
Hotmath provides 25 practice problems that deal with limits and graphs of limits. Each of the practice problems include a step-by-step guide.
Texas Instruments
Texas Instruments: Piecewise Functions: Continuous Differentiable
This activity takes a discontinuous, piecewise defined function and redefines it to make it continuous and differentiable at the point of discontinuity.
CK-12 Foundation
Ck 12: Properties of Limits
Limit rules for sums, differences, products, quotients, powers, and roots of simpler functions.
Paul Dawkins
Paul's Online Notes: Continuity: Practice Problems
Practice exercise reviews the concept of continuity and how it relates to limits. Also, provides practice with the use of the Intermediate Value Theorem.
Interactive Mathematics
Interactive Mathematics: Limits
Beginning with a discussion on continuity, this site introduces the concept of limits. Several examples are presented, some of which allow you to work the problem yourself before seeing the problem. Graphs are included on several of the...
Other
Continuity
Students learn about continuity. Topics include discontinuities, one-sided limits, and the intermediate value theorem. Definitions and examples with solutions are included.
Paul Dawkins
Paul's Online Notes: Calculus I: Limits
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...
Analyze Math
Analyze Math: Introduction to Limits in Calculus
The tutorial investigates numerical and graphical approaches to calculating the limit of a function. Examples with detailed solutions are included.
Massachusetts Institute of Technology
Mit: Open Course Ware: Differentiability and Continuity
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...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Limite Y Continuidad De Funciones
This interactive unit introduces the concept of the limit and continuity of a function.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Continuidad De Funciones
In this interactive unit you will be able to understand the concept of continuity, determine whether a function is continuous from its graph and to distinguish the different types of discontinuities both graphically and analytical.
Paul Dawkins
Paul's Online Notes: Computing Limits: Practice Page
Practice exercise reviews how to compute limits using the limit properties. Also practices computing limits of piecewise functions and use of the Squeeze Theorem.
Shmoop University
Shmoop: Multiplying and Dividing Limits Examples
Examples of multiplication and division of limits with the solutions.
Shmoop University
Shmoop: Adding and Subtracting Limits Examples
Examples of addition and subtraction with limits including solutions to the example problems.
Analyze Math
Analyze Math: Properties of Limits
Students examine the properties of limits. Theorems and examples with detailed solutions are included in the tutorial.
Texas Instruments
Texas Instruments: Piecewise Functions
In this activity, students investigate piecewise functions for continuity and differentiability.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Limits at Infinity
This site from the Northeast Parallel Architectures Center of Syracuse University is a great site for studying the limits at infinity. This page contains six links to information on the subject. Just click on the one you want information...
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Infinite Limits
This Northeast Parallel Architectures Center at Syracuse University site provides a brief description and examples of infinite limits of functions at infinity.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Formal Definition of a Limit
This Math Forum site is an inquiry by a student about the definition of a limit with a response by a professor. If you are confused by the student's inquiry don't worry, take a look at the doctor's response which explains what a limit is...