Curated OER
Finding the Limit of Composite functions
In this pre-calculus learning exercise, students calculate the composite of two functions as well as perform basic operations in order to determine the limit as x approaches a given number. There are 4 questions.
Curated OER
Write the Limit Described Problems
In this limits activity, students construct the limit described in three problems and the formal definition of a limit. The solutions are not provided.
Curated OER
Limit Problems
In this college Calculus worksheet, students determine the value of the given limit. The two page worksheet contains ten problems. Answers are not included.
Curated OER
Math 155 Review Worksheet for Exam 1
In this college level calculus worksheet, students evaluate the given limits or show that the limit does not exist. Students determine the derivative of the given functions. The two page worksheet contains twenty-six problems. Answers...
Curated OER
Math 155 Worksheet 4
For this derivatives worksheet, learners solve 6 short answer problems. The first three problems, ask students to use a given definition of a derivative to solve the problems. The final three problems ask learners use the basic...
Curated OER
Math 150 Limit computations
In this college level calculus worksheet, students evaluate the given limits and find the indicated derivatives. The two page worksheet contains ten problems. Answers are not included.
Curated OER
Integrals and Limits
In this college level calculus instructional activity, students evaluate the given integrals and compute the given limits or show that the limit does not exist. The three page instructional activity contains ten problems. Answers are...
Curated OER
Lesson #94 Exact Area Under a Curve
Students research Riemann Sums. In this area lesson students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
Curated OER
Computation Of Limits
Students engage in a lesson about the limits of mathematics. They practice computing the limits in a introduction to a course in calculus. Students are guided through sample problems that are provided in the lesson. They demonstrate...
Curated OER
Limits Of Trigonometric Functions
Students engage in a lesson that is about computing the limits of trigonometric functions. They practice computing the functions of sin, cos, and sin to find the missing values related to triangles. Students also calculate the limits of...
Curated OER
Delta-Epsilon Definition Of A Limit
High schoolers engage in an investigation of the Delta Epsilon Limit with problems that have some limitations. They practice applying the limit and seeing how they are different from common problems. The lesson includes some sample...
Curated OER
Application of Delta-Epsilon Definition of the Limit
Students investigate the concept of a Limit and how it is used in a variety of problematic situations. They fold paper to help illustrate how to form equilateral triangles and explain how all the angles are the same. The lesson includes...
Curated OER
Introduction to Limits
Twelfth graders problem solve limit/function value situations. They solve the problems using a graphing calculator, which allows them to see the function's graph, and infer the function value and limit from the graph.
Mathematics Archives
Math Archives: L'hospital's Rule
On this site the student can work the problems then check the solution online
Wolfram Research
Wolfram Math World: Calculus
This tutorial provides detailed overviews of the concepts and theorems associated with calculus. The number to the right of the topic indicates how many sites MathWorld has pertaining to the topic. "Funnel your way down the chain" to...
Paul Dawkins
Paul's Online Notes: One Sided Limits: Practice Page
Practice exercise reviews one-sided limits.
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.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Formal Definition of a Limit
This Math Forum site is an inquiry by a student about the definition of a limit with a response by a professor. If you are confused by the student's inquiry don't worry, take a look at the doctor's response which explains what a limit is...
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.
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: 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: 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.
Texas Instruments
Texas Instruments: Differential Calculus
In this activity, students learn to solve problems dealing with limits, derivatives, and optimization. They use various features of the TI-86 to study some important ideas covered in a differential calculus course.