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...
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.
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.
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.
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.
CK-12 Foundation
Ck 12: Analysis: Definition of a Limit
[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...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Limites De Funciones
In this interactive unit you can make a visual understanding of the definition about the limit of a function.
Windstream
Ojk's Precalculus Study Page: Limits of Infinite Sequences
A wonderful study tutorial explaining the limits of infinite sequences. There are theorems and examples.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Propiedades De Los Limites De Funciones
In Spanish. This interactive unit can help you to understand the concept of infinity limit.
Paul Dawkins
Paul's Online Notes: The Definition of the Limit: Practice Problems
Practice exercise provides problems that review limits including how to use the definition to compute a limit.
Paul Dawkins
Paul's Online Notes: Limit Properties: Practice Page
Provides nine practice problems that review the properties of limits used in computing limits.
Texas Instruments
Texas Instruments: The Derivative as a Limit
Read about the near-simultaneous discovery of Calculus by Liebniz and Newton, then see some examples worked through of finding derivatives of functions using the limit definition of derivative. Following the examples are exercises with...
Texas Instruments
Texas Instruments: Understanding Limits
This activity is designed to show students how to use a graphing calculator to find a limit by graphing, investigating a table, and by using the calc menu. (Continued. See "before the activity.")
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Limits: Graphical Approach
The resource investigates how to estimate limits graphically. Students learn about the calculus concepts through notes and examples.
Math Open Reference
Math Open Reference: Graphical Function Explorer (Gfe)
This resource provides a free function grapher. Enter up to 3 equations and plot them. Similar to a graphing calculator.
Windstream
Ojk's Precalculus Study Page: The Number E and the Function E^x
An introduction to the natural exponential function, beginning with the limit definition of the irrational number e. Includes several examples and exercises with solutions which deal with the compound interest formula.
Math Notes and Math Tests
Pre Calculus Notes: Polynomial Functions of Higher Degree [Pdf]
The resource discusses polynomial functions of higher degree. Topics examined are infinity, limits, the factor theorem, and the intermediate value theorem.
Texas Instruments
Texas Instruments: Population and Limits
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.
Paul Dawkins
Paul's Online Notes: Limits at Infinity Part 1
Online notes with examples and solutions.
Other
Seton Hall University: Limits
Detailed tutorial which defines, explains, and has examples of various function limits.
Mathematics Archives
Math Archives: Visual Calculus: Limits and Greatest Integer Function
Definition of greatest integer function. Includes a visualization animation that requires LiveMath Notebook plugin.