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.
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.
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.
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.
Khan Academy
Khan Academy: Determine the Domain of Functions
Determine the domain of a function according to the algebraic limitations of that function.
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.
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.
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.
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...
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.
University of Texas at Austin
Mathematics Teks Toolkit: Exponential Functions
Compare graphs of different exponential functions and determine the limitations of the functions.
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.
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.
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: 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.
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.
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: 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: 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.
CK-12 Foundation
Ck 12: Analysis: One Sided Limits
[Free Registration/Login may be required to access all resource tools.] Exploring functions with differing limits when x>0 or x<0. Students examine guided notes, review guided practice, watch instructional videos and attempt...
CK-12 Foundation
Ck 12: Analysis: Infinite and Non Existent Limits
[Free Registration/Login may be required to access all resource tools.] Identifying and understanding functions which approach infinity or have no limit. Students examine guided notes, review guided practice, watch instructional videos...
Paul Dawkins
Paul's Online Notes: The Limit: Practice Problems
Practice exercise features six problems that review limits.
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.