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Worksheet
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\n\"Testing\n\n
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\nCurated OER\n
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\nTesting Infinite Series for Convergence/ Divergence\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFor this math worksheet, students investigate the concepts of divergence and convergence for the functions. The sheet is handwritten and has poor quality.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Infinite\n\n
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\nCurated OER\n
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\nInfinite Series\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, learners examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Discussion\n\n
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\nCurated OER\n
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\nDiscussion Sheet 8\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students apply the test for each series and determine if they converge or diverge. Students also find the exact value of the convergent series.\n
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\n\"Discussion\n\n
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\nCurated OER\n
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\nDiscussion Sheet 9\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math activity, students determine the convergence and divergence for each series using the test that is indicated. They also compute the partial sum and determine the error.\n
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\n\"Limit\n\n
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\nCurated OER\n
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\nLimit Comparison Test\n

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\n\nFor Students\n\n11th\n
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\nIn this calculus activity, 11th graders solve 7 problems where they determine the convergence and divergence properties using the limit comparison test.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Ratio\n\n
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\nCurated OER\n
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\nRatio Test\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this college level Calculus instructional activity, students use the ratio test to determine if a series converges or diverges.  The one page instructional activity contains six problems.  Solutions are not provided. \n
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\n\nGet Free Access\n\nSee Review\n
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Interactive
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\n\"Review\n\n
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\nCurated OER\n
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\nReview of Calculus BC II\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this Calculus instructional activity, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The...\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 12\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students state the Alternating Series Test and give an example of it. They also write down an alternating series which does not converge.\n
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\n\"Basic\n\n
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\nCurated OER\n
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\nBasic Calculus II: Quiz 8\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this infinite series instructional activity, 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...\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Series\n\n
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\nCurated OER\n
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\nSeries Review VI\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn 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. \n
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\n\nGet Free Access\n\nSee Review\n
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Activity
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\n\"Math\n\n
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\nMathematics Archives\n
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\nMath Archives: Visual Calculus: Ratio Test\n

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\n\nFor Students\n\n9th - 10th\n
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\nVisual Calculus offers a discussion and exercises concerning the ratio test for convergence of series.\n
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\n\nGet Free Access\n\nSee Review\n
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Activity
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\n\"Math\n\n
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\nMathematics Archives\n
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\nMath Archives: Visual Calculus: Integral Test\n

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\n\nFor Students\n\n9th - 10th\n
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\nVisual Calculus offers a discussion and exercises concerning the integral test for convergence of series. The site also discusses the power series test.\n
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\n\nGet Free Access\n\nSee Review\n
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Handout
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\n\"Sierra\n\n
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\nOther\n
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\nSierra College: Summary of Tests for Series\n

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\n\nFor Students\n\n9th - 10th\n
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\nProvides a summary of tests for series that includes the test, series, converges, sum of remainder, and diverges for nth Term, Geometric Series, Telescoping Series, p-Series, Alternating Series, Integral, Root, Ratio, Direct Comparison,...\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Alternating Series Test\n

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\n\nFor Students\n\n11th\n
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\nWhen a series alternates (plus, minus, plus, minus,...) there's a fairly simple way to determine whether it converges or diverges: see if the terms of the series approach 0.\n
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Handout
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\n\"Math2.org:\n\n
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\nMath2\n
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\nMath2.org: Series Expansions\n

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\n\nFor Students\n\n9th - 10th\n
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\nA thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...\n
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\n\"Glencoe\n\n
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\nMcGraw Hill\n
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\nGlencoe Mathematics: Online Study Tool: Quiz on Convergent and Divergent Series\n

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\n\nFor Students\n\n9th - 10th\n
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\nLearners exhibit comprehension of advanced mathematical concepts in Pre-Calculus. The online quiz tests the scholars on convergent and divergent series.\n
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\n\nGet Free Access\n\nSee Review\n
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