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Limits and Continuity Teacher Resources
Find Limits and Continuity educational ideas and activities
In this limits and continuity test, students solve 8 multiple choice questions. They define the words limits and continuity. Students determine the limits of 8 functions. Students find the value for a constant in one function, and prove one function is continuous at x=0. 4 questions require students to graph functions. There are 25 questions in all (plus one extra credit question).
Students explore the concept of piecewise functions. In this piecewise functions instructional activity, students discuss how to make a piecewise function continuous and differentiable. Students use their Ti-89 to find the limit of the function as it approaches a given x value. Students find the derivative of piecewise functions.
Students read a description of how to evaluate limits then solve problems both with and without their graphing calculators. In this evaluating limits lesson, students evaluate 9 limits problems without their graphing calculators. Answers are checked using the calculator.