Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: One Sided Limits
Brief tutorial on special cases of the Cauchy Limit definition.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Limits: Numerical Approach
The resource investigates numerical approaches to limits. Topics examined are the definition of a limit and estimating limits numerically. Students learn about the calculus concepts through notes and examples.
Math Medics
S.o.s. Math: Limits and Infinity
Graphs a limit with vertical asymtopes and shows the limits when x approaches 0 and 0 from left and right. Contains many examples.
Texas Instruments
Texas Instruments: Techniques for Evaluating Limits
Students are given the techniques for evaluating limits with and without using a graphing calculator. Both limits as x approaches a and as x approaches +/- infinity are given.
Texas Instruments
Texas Instruments: Finding Limits
This activity allows the student to understand limits using both graphical and tabular methods.
Texas Instruments
Texas Instruments: Limits, Numerically
This activity introduces limits, numerically using tables and graphs.
Texas Instruments
Texas Instruments: Taking It to the Limit
Students explore the concept of limits, both finite and infinite, using the graphing calculator. Each rule has a set of examples and a section for the students to try other examples to create a basis of understanding of each of the rules.
McGraw Hill
Glencoe Mathematics: Online Study Tool: Self Check Quiz on Limits
This quiz is designed to test students on advanced mathematics skills. The questions help build comprehension in the Calculus topic of limits.
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: Limits Vertical and Horizontal Asymptotes
This activity explores graphically, numerically and symbolically the vertical and horizontal asymptotes of a rational function through the limit taking capability of the graphing calculator.
University of Texas at Austin
Mathematics Teks Toolkit: Exponential Functions
Compare graphs of different exponential functions and determine the limitations of the functions.
Wolfram Research
Wolfram Math World: Hyperbolic Functions
This site from MathWorld explains the hyperbolic function. The information is not too in-depth, but factual and quite a few links are provided for additional information on related subjects.
Texas Instruments
Texas Instruments: Piecewise Functions
In this activity, students investigate piecewise functions for continuity and differentiability.
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...
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
Other
Continuity
Students learn about continuity. Topics include discontinuities, one-sided limits, and the intermediate value theorem. Definitions and examples with solutions are included.
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.
CK-12 Foundation
Ck 12: Analysis: One to One Functions and Their Inverses
[Free Registration/Login may be required to access all resource tools.] Definition and exploration of 1 to 1 functions and their inverses
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.
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.
Math TV
Math tv.com: Calculus: Limits
Students learn how to apply the definition of a limit. The learning resource consists of video tutorials with detailed examples. In the left hand menu, click on Calculus, Limits.
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.
Khan Academy
Khan Academy: Determine the Domain of Functions
Determine the domain of a function according to the algebraic limitations of that function.