Tests of Convergence and Divergence Teacher Resources

Find Tests of Convergence and Divergence educational ideas and activities

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In this college level Calculus worksheet, students use the ratio test to determine if a series converges or diverges.  The one page worksheet contains six problems.  Solutions are not provided. 
In this Calculus learning exercise, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page interactive learning exercise contains fifty-two problems.  Answers are not provided. 
Twelfth graders investigate convergence of an infinite series.  In this Calculus lesson, 12th graders apply the integral test to determine convergence of an infinite series. 
In this calculus worksheet, 11th graders solve 7 problems where they determine the convergence and divergence properties using the limit comparison test.
Young scholars investigate sequences and series numerically, graphically, and symbolically.  In this sequences and series lesson, students use their Ti-89 to determine if a series is convergent.  Young scholars find the terms in a sequence and series and graph them.  Students use summation notation to determine the sum of a sequence.
Students find patterns in a sequence.  In this sequences and series lesson plan, students use their calculator to find the sequence of partial sums.  They graph functions and explore convergent series.  Students approximate alternating series.
In this college level calculus worksheet, students use the ratio test to determine if  a seriesconverges or diverges.  The two page worksheet contains six practice problems.  Answers are not included. 
Young scholars study the architectural designs of different popular sites. For this math lesson, students draw a grid diagram. They explain what geodesic algorithms are used for.
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or diverging.

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Tests of Convergence and Divergence