{"results":"
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Worksheet
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\n\"Discussion\n\n
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\nCurated OER\n
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\nDiscussion Sheet 10: Series\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this series worksheet, students use the absolute convergence test to determine numbers in a series and the interval of convergence. They list the first four terms in a series. This two-page worksheet contains approximately 30 problems.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Convergent\n\n
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\nCurated OER\n
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\nConvergent or Divergent Series\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this convergent or divergent learning exercise, students examine a given series and determine if it is absolutely convergent, conditionally convergent or divergent. This two-page learning exercise contains seven multi-step problems.\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 10: Convergence\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this convergence worksheet, students compute improper integrals. They use the comparison test or the absolute convergence test to prove convergence. Students find the area of a region bounded by graphs. This one-page worksheet...\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 13\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students define how for a given value of x, the series S(x) converges. Then they prove how convergence can be absolute.\n
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\n\"Comparison\n\n
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\nCurated OER\n
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\nComparison Test for Convergence and Divergence\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this comparison and convergence worksheet, students show that each of six improper integral converges. They use the comparison test to show that each of two improper integrals diverges.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"General\n\n
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\nCurated OER\n
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\nGeneral Convergence Sheet: Convergent and Divergent Series\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this series activity, students determine if 16 series are divergent or convergent.  Students find the summation of series on a given interval.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Integration\n\n
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\nCurated OER\n
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\nIntegration Review\n

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\n\nFor Students\n\n11th\n
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\nFor this algebra worksheet, 11th graders solve a series and identify if the series will diverge or converge based on n equals. There are 5 questions.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Numerical\n\n
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\nCurated OER\n
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\nNumerical Analysis\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this numerical analysis worksheet, students plot functions, predict the number of iterations, and identify the convergence criteria of the function. This two-page worksheet contains eight problems.\n
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\n\nGet Free Access\n\nSee Review\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 worksheet, 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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Activity
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\n\"S.o.s.\n\n
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\nMath Medics\n
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\nS.o.s. Math: Absolute Convergence\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis lesson provides a general overview of absolute convergence, complete with a summary and several examples.\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: Absolute Convergence\n

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\n\nFor Students\n\n9th - 10th\n
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\nA good site explaining absolute convergence. The site has the definition, theorem and examples.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Wolfram\n\n
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\nWolfram Research\n
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\nWolfram Math World: Absolute Convergence\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis page briefly discusses absolute convergence as it relates to series. Also provides some properties of absolutely convergent series.\n
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\n\nGet Free Access\n\nSee Review\n
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Handout
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\n\"Math\n\n
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\nMath Words\n
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\nMath Words: Absolute Convergence\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis MathWords.com site clearly states how to determine if a series converges absolutely.\n
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\n\nGet Free Access\n\nSee Review\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 Convergence Tests\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis is an excellent resource! It states all of the most common tests for series convergence. Examples are not included.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Sophia:\n\n
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\nSophia Learning\n
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\nSophia: Convergent Series: Lesson 3\n

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\n\nFor Students\n\n11th - 12th\n
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\nThe concept of a series that converges to a particular sum is discussed here. This lesson is 3 of 4 in the series titled \"Convergent Series.\" [2:52]\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Math2.org:\n\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\nGet Free Access\n\nSee Review\n
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Instructional Video
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\nSophia Learning\n
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\nSophia: Convergent Series: Lesson 2\n

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\n\nFor Students\n\n11th - 12th\n
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\nThe concept of a series that converges to a particular sum is discussed here. This lesson is 2 of 4 in the series titled \"Convergent Series.\" [2:36]\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Sophia:\n\n
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\nSophia Learning\n
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\nSophia: Convergent Series: Lesson 4\n

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\n\nFor Students\n\n11th - 12th\n
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\nThe concept of a series that converges to a particular sum is discussed here. This lesson is 4 of 4 in the series titled \"Convergent Series.\" [2:26]\n
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\n\nGet Free Access\n\nSee Review\n
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