Convergence of integral calculator
[DOC File]AP Calculus BC
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Feb 10, 2011 · Tests for Convergence. Divergence Test. Integral test. Comparison Test. Ratio Test. Root Test. Limit Comparison Test. Alternating Series test. Ratio test for Absolute Convergence. Radius and Interval of Convergence. Chapter 10: Parametric, Vector, and Polar Functions (approx 10 days) Parametric Functions, First and Second Derivatives. Length of ...
[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
[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. ...
[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.
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
[DOCX File]Unit 1A: Review of Integration, Differentiation and the ...
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determining the convergence of infinite sum and writing arbitrary functions as an infinite sum (Taylor series), ... Students will have access to TI-84, TI-89, or equivalent calculators, the use of which is an integral (pun intended!) part of the course. Students who do not have their own graphing calculators will be given a TI-84 to sign out ...
[DOC File]AP Calculus BC Course Outline
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Terms of series of rectangles and their relationship to improper integrals, including the integral test and its use in testing the convergence of p series. The ratio test for convergence and divergence. Comparing series to test for convergence or divergence. Taylor series:
[DOC File]2006 AP Calculus AB – Part A (with calculator) - Solutions
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2006 AP Calculus BC – Part B (no calculator) – Solutions (a) Using the Ratio Test (absolute convergence), we obtain: < 1 convergence for . Testing the endpoints: For x = -1, we have . and For x = 1, we have . Hence the interval of convergence is just: …
[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.
[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.
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