Curated OER
The Babylonian Algorithm, Limits and Rates of Change
In this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page...
Curated OER
Understanding Limits
In this understanding limits, students determine the convergence of given sequences. They use properties of limits to evaluate functions. This two-page activity contains examples and explanations, as well as eleven problems.
Curated OER
Challenge Discussion Sheet 2
In this function worksheet, students write a function for the volume of a cube, determine limits using trigonometric functions, sketch graphs, and use the Intermediate Value Theorem to prove solutions of problems. this one-page...
Curated OER
Review of Limits
In this limit worksheet, students review limits stated as an expression, analyze Euler's method applied to a rate equation, compute the terms of a given sequence, and identify a sequence as a convergence or divergence. this four-page...
Curated OER
The Definition Derivative
In this derivative worksheet, students evaluate limits, factor equations, and calculate the given function. They determine the derivative of a function and plot it on a graph. This four-page worksheet contains eight problems.
Curated OER
Discussion Sheet 2: Domain and Range
In this domain and range worksheet, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page worksheet contains...
Curated OER
Discussion Sheet 4: Limits & Differentiation
In this limits and differentiation worksheet, students use the limit definition of a derivative to compute functions, and differentiate functions. They determine the geometric significance of values and identify the sketch of a...
Curated OER
Discussion Sheet 3: Limits
In this limit worksheet, students evaluate limits and use asymptotes and intercepts to sketch graphs of functions. They determine the area of inscribed shapes and use the limit definition of a derivative to differentiate functions. ...
Curated OER
Discussion Sheet 9: Functions and Limits
In this function and limits worksheet, students identify a one-to-one correspondence and identify an inverse function. They compute limits of functions. This two-page worksheet contains five multi-step problems.
Curated OER
Discussion Sheet 1: Three-Dimensional Space
In this three-dimensional space activity, students sketch three-dimensional spaces, determine the intersection of two surfaces, plot curves, and evaluate the limits. This one-page activity contains six multi-step problems.
Curated OER
Calc 1 Review Problems - Function
In this review of functions worksheet, students find the derivative of functions, evaluate limits, determine whether functions are invertible, identify critical points and find the equation of the tangent line to a function. This...
Curated OER
Complex Analysis: Limits of Complex Functions
In this complex function worksheet, students identify the limits of complex functions. They explore the rules on limits and the point at infinity. This two-page worksheet contains examples and explanations, as well as seven problems.
Curated OER
Limits
In this limit instructional activity, students evaluate functions and determine the limits of the function. This one-page instructional activity contains 10 problems.
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
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...
Science Buddies
Science Buddies: The Height Limits and Linearity of Bouncy Balls
You might think that plants and animals have little in common with batteries, springs, or slingshots, but they actually do have something in common. Both living and non-living things store and transfer energy from one form to another. In...
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.
Varsity Tutors
Varsity Tutors: Hotmath: Sequences and Series
Hotmath provides 20 practice problems relating to sequences and series. Each of the practice problems include a step-by-step guide for solving.
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.
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: 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.
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.
Math Medics
S.o.s. Math: More on Limit of a Sequence
A detailed lesson explaining the uniqueness of a convergent sequence. Explains what happens when a sequence is bounded. Gives properties of sequences with limits.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Derivadas. Aplicaciones. Optimizacion.
In Spanish. This interactive unit is intended to show you how to calculate the derivative of a function and the application of the derivative in other sciences.