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Is There a Limit to Which Side You Can Take?
Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
Curated OER
Worksheet 5: Property Limits and the Squeeze Theorem
In this math worksheet, students answer 6 questions regarding given limits in a table of data, properties of limits and the Squeeze Theorem.
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Explorations 5: Introduction to Limits
In this limit activity, learners find the interval values of given functions. They identify constants, and plot graphs. This three-page activity contains approximately 20 problems.
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Worksheet 10 - Limits
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
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Open Sets, Limits, Continuity
In this open sets activity, students give characteristics of an open set under given conditions. They graph functions and define limits. This two-page activity contains 3 multi-step problems with explanations.
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Worksheet 4: Limits
In this limits worksheet, students evaluate limits and graph given expressions. They classify graphs as removable discontinuities, jump discontinuities, or asymptotes. this two-page worksheet contains seven multi-step problems.
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Introduction to Limits
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
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Worksheet 35 - Limits
In this limit worksheet, students compute the limits of given equations. They rewrite limits in indeterminant form. This one-page worksheet contains approximately 18 equations.
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Worksheet - Limits
In this limit worksheet, students give examples of described sequences and find the limits. They compute numbers in the Fibonacci sequence. This one-page worksheet contains six multi-step problems.
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Finding the Limit: Piecewise Functions and Graphs
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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Worksheet 4: Graphs and One-Sided Limits
In this math worksheet, young scholars answer 6 questions regarding functions, graphs, one-sided limits, intercepts, vehicle speed and wheel rotation.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
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Calculus Worksheet: Limits of Functions (1)
In this calculus worksheet, students determine the limit of the given functions. The two page worksheet contains four problems. Answers are provided.
Flipped Math
Calculus AB/BC Mid-Unit 1 Review: Limits
Limit the amount one forgets about limits. A mid-unit review lesson has individuals complete a worksheet of problems on limits. They go over the meaning of limits, evaluate limits algebraically, use graphs and tables to find limits, and...
Flipped Math
Calculus AB/BC End of Unit 1 Review: Limits and Continuity
Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...
Curated OER
Intuitive Approach to Limits
Students identify and comprehend the concept of limit in mathematics. They also view artistic works illustrating limits by M. C. Escher and apply techniques of one-sided limits to graphs of relations. Finally, students compute limits...
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Continuity and Limits
In this continuity and limits worksheet, students solve and complete 4 different types of problems. First, they determine which of the limits shown exist and then, evaluate them. They also find which functions are continuous at a given...
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How Many Penguins Does It Take? Studying Carrying Capacity and Limiting Factors
How does a population's habitat determine the size of that population? Teach learners about carrying capacity and limiting factors with an engaging roleplay activity. Class members pose as a colony of penguins who must gather food amidst...
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Limits and the Indeterminate Forms
In this limits worksheet, students use L'Hospital's Rule to solve two short answer problems. They solve fourteen short answer limits problems.
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Sudoku Puzzle with Limits
In this limit problems worksheet, students solve 28 limits problems. Students find the limits of various functions as x approaches a certain number. Students solve a sudoku puzzle with their answers.
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Limits of Composition Functions
For this limits worksheet, students find the limits of 9 composition functions. Students evaluate limits for each function at a specific value or as it approaches any value.
Curated OER
The Derivative as a Limit
Students investigate derivatives. For this calculus lesson, students investigate the derivative as a limit through the use of the TI-89.
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Mini Examination #2 - Limits and Derivatives
In this limits and derivatives worksheet, students solve 18 multiple choice and short answer questions. Students find the limits and derivatives of functions.
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