Analyze Math
Analyze Math: Find Limits of Functions in Calculus
Students learn about the limits of functions using a variety of different method. The resource consists of practice exercises and examples with solutions.
CK-12 Foundation
Ck 12: Properties of Limits
Limit rules for sums, differences, products, quotients, powers, and roots of simpler functions.
CK-12 Foundation
Ck 12: Evaluate Limits Using Substitution
Finding limits for the vast majority of points for a given function is as simple as substituting the number that x approaches into the function.
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.
Texas Instruments
Texas Instruments: Limits and Continuity
These questions address the topics of limits, continuity, and discontinuity.
Cool Math
Coolmath: Rational Functions More on Limits
Explanation, examples, and independent practice of limits.
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.
Other
Pheng Kim Ving: Limits of Trigonometric Functions
This site provides an explanation on the limits of trigonometric functions. Topics included on the site are infinite limits, no limits at infinity and a fundamental limit.
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.
Math Warehouse
Math Warehouse: Limits in Calculus
Features numerous exercises relating to limits in calculus. Includes links, calculators, lessons, and worksheets.
Texas Instruments
Texas Instruments: Calculus With the Ti 89
In this Computer Algebra System (CAS) activity, students will explore the concept of limits of functions, and use CAS to demonstrate the definition of derivative.
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...
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Limits
Here is a site that clearly and thoroughly explains the concept of limits, including one-side limits, the limit of a function, and the definition of limit. There are example problems solved, problems for the student to attempt, and...
CK-12 Foundation
Ck 12: Analysis: Infinite Limits
[Free Registration/Login may be required to access all resource tools.] Exploring functions with limits at + / - infinity. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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: Limits of Basic Functions
The resource investigates the limits of basic functions. The tutorial consists of practice problems and examples with solutions.
Analyze Math
Analyze Math: Properties of Limits
Students examine the properties of limits. Theorems and examples with detailed solutions are included in the tutorial.
Khan Academy
Khan Academy: Determine the Domain of Functions
Determine the domain of a function according to the algebraic limitations of that function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Infinite Limits for Rational Functions
This Northeast Parallel Architectures Center of Syracuse University site offers examples and instruction on infinite limits for rational functions.
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: Functions, Graphs, and Limits
In this activity, students create graphs and tables of values for functions. They can use this graphical and numerical information to explore limits. Students can also evaluate limits directly.