Infinite series calculator convergence
[DOC File]Sequences, Series and Convergence with the TI 92.
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Particularly by developing the students ability to recognise the uniqueness of the limit when considering the convergence or divergence of a series. References. Morrel, J. H. (1992). A gentle introduction to infinite series using a graphing calculator. Primus 1992 Vol 2 (1). Novak, J.D. & Gowin, D. B. (1984). Learning how to learn.
[DOCX File]VOCABULARY: sequence, series, recursive …
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decision on determing the convergence or divergence of an infinite series as well as find the sum of special infinite series. STAGE II – ASSESSMENT EVIDENCE PERFORMANCE TASK:Students will be given graded homework assignments that are selectively chosen from a bank of practice AP questions.
[DOC File]Taylor Polynomials and Approximations
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On your calculator, graph: and compare. ... If x is a variable, then an infinite series of the form. is called a power series centered at c, where c is a constant. ... The radius of convergence of the series obtained by differentiating or integrating a power series is the same as that of the original power series. The interval of convergence ...
[DOC File]AP Calculus AB and BC
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9. INFINITE SERIES . Power Series . Including introductory worksheet with a calculator exploration on why we need series. Geometric Series. Telegraphing Series. Finding sums of series. Determining convergence / divergence in terms of series. What “centered” means in terms of series. Taylor Series
[DOC File]www.math.uakron.edu
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The sum of an infinite geometric series is 125 and its 7th and 8th terms are and , respectively. Find the first three terms of the series. The first term of an infinite geometric series is – 8, and its sum is . Find the first four terms of the series. An infinite geometric series can be …
[DOCX File]Unit 1A: Review of Integration, Differentiation and …
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determining the convergence of infinite sum and writing arbitrary functions as an infinite sum (Taylor series), expressing curves in polar coordinates, and. using position, velocity, and acceleration vectors to describe the 2-D motion of particles.
Calculus II
Determine the convergence or divergence of infinite series. Derive power series for functions using these to help in differentiation, integration, and computation. Graph polar and parametric curves by hand and relate them to rectangular coordinates for area, arc length, and tangent lines.
[DOC File]First exam practice sheet - Austin Community …
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Without using p-series rule, prove that diverges. Calculate the sum within 4 decimal digits of accuracy. For each of the following series, determine whether it converges. If so, find the sum. State and prove divergence or convergence for each of the following series. Find the radius and interval of convergence of the following power series.
[DOCX File]www.jessamine.k12.ky.us
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Sample Activities: An exploration of a geometric series using the sum and sequence commands on the calculator and the discovery of convergence or divergence; An exploration that uses a power series for a definite integral; A lab using the calculator to see the interval of convergence
Chapter 1: Limits and Their Properties
Chapter 8: Infinite Series (4-5 weeks, 2 tests, daily quizzes; cumulative exam) ... • Convergence of a series defined in terms of the limit of the sequence of partial sums of a series ... introduction using the graphing calculator • Power series and radius and interval of convergence
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