Integral convergence divergence calculator
[DOC File]AP Calculus BC Syllabus
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Introduction to convergence and divergence of a series by using technology on two examples to gain an intuitive understanding of the meaning of convergence. Geometric series and applications. The nth-Term Test for Divergence. The Integral Test and its relationship to improper integrals and areas of rectangles
[DOCX File]VOCABULARY: sequence, series, recursive sequence, partial ...
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how to test and make a decision on determing the convergence or divergence of an infinite series as well as find the sum of special infinite series. ... sum, sequence of partial sums, convergence, divergence, test for divergence, geometric series, telescoping series, integral test, remainder, p-series, alternating series, alternating series ...
[DOC File]Calculus II
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Define an improper integral. Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals. Determine convergence or divergence of sequences and series. Use Taylor and MacLaurin series to represent functions. Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
Chapter 1: Limits and Their Properties
• Introduction to convergence and divergence of a series by using technology on two examples to gain an intuitive understanding of the meaning of convergence • Geometric series and applications • Telescoping series • The nth-Term Test for Divergence • The Integral Test and its relationship to improper integrals and areas of rectangles
[DOC File]AP Calculus AB
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The calculator is used to support discovery as well as conclusions. ... of Solids Matching Activity – This activity consists of 3 sets of cards. There is a set of, verbal descriptions, the integral set-up, and the solution. ... Students use their calculator to investigate the meaning of convergence and divergence of both sequences and series ...
[DOCX File]www.jessamine.k12.ky.us
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The calculator will be an integral part of discovering and verifying the information generated by calculus procedures and tests. Each student will have a TI-83or84 graphing calculator to use at school and at home. DESCRITION . ... convergence, properties, Squeeze Theorem.
[DOC File]AP Calculus AB and BC
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Defining convergence / divergence in terms of sequences. L'Hôpital's Rule . Including how to handle indeterminate forms. Relative Rates of Growth . Improper Integrals . Materials. PPS presentations on each section. Worksheet on examining graphs and equations to determine where an integral would be considered improper.
[DOC File]Sequences and Series**
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The Integral Test for Convergence. Suppose that is a continuous, positive, decreasing function on the interval and let . Then the series defined by is convergent if and only if the improper integral is convergent. In other words, If is convergent, then is convergent. or. If is divergent, then is divergent. p-series Test for Convergence
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