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.
Wolfram Research
Wolfram Math World: Leibniz Integral Rule
This page discusses the Leibniz Integral Rule, which concerns "the differentiation of a definite integral whose limits are functions of the differential variable."
Wyzant
Wyzant: Function Graphing Calculator
Students input a function in either y= of f(x)= form, and then the site from WyzAnt does the rest! A detailed graph is shown in less than a second. Students can change the window used to view the graph as well as whether to have...
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
Paul Dawkins
Paul's Online Notes: Calculus I: Proof of Various Limit Properties
The tutorial proves some of the basic properties and facts about limits. Topics discussed are limit properties, triangle inequality, continuity, and limits at infinity. Class notes, definitions, and examples with detailed solutions are...