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.
University of Texas at Austin
Mathematics Teks Toolkit: Exponential Functions
Compare graphs of different exponential functions and determine the limitations of the functions.
Texas Instruments
Texas Instruments: Piecewise Functions
In this activity, students investigate piecewise functions for continuity and differentiability.
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.
Texas Instruments
Texas Instruments: Special Limits
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.
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.
Shmoop University
Shmoop: Multiplying and Dividing Limits Examples
Examples of multiplication and division of limits with the solutions.
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.
Other
Limits a Geometric and Numeric Approach
Students learn about limits using geometric and numeric approaches. Topics include limits using tables and limits with graphs. The resource consists of graphs, examples, and a learning game.
CK-12 Foundation
Ck 12: Analysis: Limits and Asymptotes
[Free Registration/Login may be required to access all resource tools.] Introduction to end behaviors, limits, asymptotes and limit notation.
Other
Desmos: Modeling Bundle
A collection of activities where students investigate mathematical modeling. Activities involve different types of functions, how to examine context and decide on a model, and limitations.
CK-12 Foundation
Ck 12: Analysis: Applications of One Sided Limits
[Free Registration/Login may be required to access all resource tools.] Computing the limit of a function by identifying one-sided limits
CK-12 Foundation
Ck 12: Analysis: Polynomial Function Limits
[Free Registration/Login may be required to access all resource tools.] Finding the limits of polynomial functions using theorems and operations on limits
Math Warehouse
Math Warehouse: Limits in Calculus
Features numerous exercises relating to limits in calculus. Includes links, calculators, lessons, and worksheets.
Other
Continuity
Students learn about continuity. Topics include discontinuities, one-sided limits, and the intermediate value theorem. Definitions and examples with solutions are included.
Other
Ltcc: Limits (Algebraically)
Students learn how to evaluate limits algebraically. Topics include infinite limits, trigonometric limits, and the squeeze theorem. Definitions and examples with solutions are included.
CK-12 Foundation
Ck 12: Analysis: Linear and Quadratic Models
[Free Registration/Login may be required to access all resource tools.] Modeling of Linear and Quadratic Functions
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...
Analyze Math
Analyze Math: Limits of Basic Functions
The resource investigates the limits of basic functions. The tutorial consists of practice problems and examples with solutions.
Cool Math
Coolmath: Rational Functions More on Limits
Explanation, examples, and independent practice of limits.
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.
CK-12 Foundation
Ck 12: Analysis: Rational Function Limits
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the limits of rational functions algebraically. Students examine guided notes, review guided practice, watch instructional videos and...
Texas Instruments
Texas Instruments: Is There a Limit to Which Side You Can Take?
In this activity, students will investigate the given function, and state and explain the limit at a particular value. They also state and explain the limit at a particular value from a graph.