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Functions, Sequences, Limits
In this function worksheet, students determine the limit of a given sequence and given functions. They sketch paragraphs. This three-page worksheet contains 40 problems.
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Worksheet 5: Functions & Limits
In this function worksheet, students determine the limits of functions, sketch graphs, and use the Intermediate-Value Theorem for functions. This two-page worksheet contains twenty-two problems.
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Review Questions for Midterm 2
In this review instructional activity, students prove the intersection of finitely of sets, construct increasing functions, and identify characteristics of an open and closed set. This two-page instructional activity contains seven...
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ESP Quiz 9
In this improper integrals worksheet, students evaluate four computation (short answer) problems. They use L'Hopital's rule for the fourth problem.
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Supplemental Exercises for section 2.4
Given examples and formulas at the top of the page, students solve eleven short answer (computation) problems. The answers to three of the problems is included on the worksheet.
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Worksheet 6
In this integral instructional activity, students are given 20 short-answer problems regarding integrals, temperature, time, limits, maximum & minimum values.
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Limits, Continuity and Differentiability
In this limit instructional activity, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This instructional...
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Quiz 2: Inverse Functions
In this inverse function worksheet, students determine the inverse function and identify the limits of given functions. This two-page worksheet contains four problems.
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The Product and Quotient Rules
In this produce and quotient rule worksheet, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page worksheet contains explanations,...
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Worksheet 3: Functions & Limits
In this function worksheet, students determine the limits and compute integrals. This two-page worksheet contains approximately ten problems.
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Limits, Continuity and Local Linearity
In this continuity activity, students compute limits, identify continuity, compute the rate of change, determine the instantaneous rate, and graph functions. This eight-page activity contains fifteen problems.
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Challenge Sheet 1: Limits and Sums
In this limit learning exercise, students evaluate sums, determine limits, compute distance problems, and sketch functions. This one-page learning exercise contains approximately eleven problems.
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Limits at Infinity and Horizontal Asymptotes
In this limits worksheet, students sketch the graph of a function. They complete three fill in the blank questions. Students solve fifteen limits problems. They use L'Hopital's Rule to solve four problems. Students find the vertical...
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Supplemental Trig Problems
In this supplemental trigonometry worksheet, learners determine the indicated limit, identify the tangent for an increasing function, find the relative and absolute extremes and write the formula for an equation and slope of a line. ...
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Computing Derivatives
For this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately...
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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...
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Discussion Sheet 8
In this limits worksheet, students answer ten short answer questions. Students evaluate limits and differential problems. They find horizontal asymptotes for one function.
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Limits of Functions as Undefined X-Values and L'Hopital's Rule
In this limits worksheet, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
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Understanding Limits
In this understanding limits, students determine the convergence of given sequences. They use properties of limits to evaluate functions. This two-page worksheet contains examples and explanations, as well as eleven problems.
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More on Limits, Graph Sketching, and L'Hopital's Rule
In this limits worksheet, students compute the answers to thirteen limits problems. They answer one short answer question. Students follow listed steps to simplify two limits problems. Students answer three short answer questions about a...
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Challenge Discussion Sheet 2
In this function activity, 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 activity...
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Review of Limits
For 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...
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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.
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Elementary Derivatives and Rules of Differentiation
For this derivative worksheet, students use the definition of limits and derivatives to find formulas with given conditions. They find derivatives of given equations. This four-page worksheet contains approximately ten problems, with...