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AP Calculus BC Review for Quiz -Determining convergence of geometric series -Creating a power series -Finding a Taylor Series sum expression
Solution Q /4 + 5/16 + 5/64 converges to 20/3
Question 3 Determine the fourth order Taylor series and the summation equation for f(x) = 1/x when the center is at x = -1
Q4 key a.Converges to 6 b.Converges to 2/3 (r = -1/2) c.Diverges d.Sin x
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9.1 Power Series AP Calculus BC. This is an example of an infinite series. 1 1 Start with a square one unit by one unit: This series converges (approaches.
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Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….
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Chapter 2 Review Concepts and Vocabulary. Q1. If a function is defined by the equation y = f(x), then x is called the _?_ variable and y is the _?_ variable.
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AP Calculus Miss Battaglia An infinite series (or just a series for short) is simply adding up the infinite number of terms of a sequence. Consider:
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Copyright © 2007 Pearson Education, Inc. Slide Geometric Series A geometric series is the sum of the terms of a geometric sequence. Sum of the.
Infinite Series 9 Copyright © Cengage Learning. All rights reserved.
What’s Your Guess? Chapter 9: Review of Convergent or Divergent Series.
Produced by the Department of Learning and Teaching Resources, Belfast Institute. Want to be a xxxxx? Welcome to College Name Click here to start.
9.1 Power Series Quick Review What you’ll learn about Geometric Series Representing Functions by Series Differentiation and Integration Identifying.
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Chapter 9 AP Calculus BC. 9.1 Power Series Infinite Series: Partial Sums: If the sequence of partial sums has a limit S, as n infinity, then we say.
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9.10 More Power Series. Example 2 Problem 6 Find the a power series for the function centered at c.
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Copyright © 2011 Pearson, Inc. 9.5 Series Goals: Use sigma notation to find the finite sums of terms in arithmetic and geometric sequences. Find sums of.
Geometric Sequences and Series Notes 9.2. Notes 9.2 Geometric Sequences a n =a 1 r n-1 a 1 is the first term r is the ratio n is the number of terms.
Series A series is the sum of the terms of a sequence.
S ECT. 9-2 SERIES. Series A series the sum of the terms of an infinite sequence Sigma: sum of.
Chapter 8-Infinite Series Calculus, 2ed, by Blank & Krantz, Copyright 2011 by John Wiley & Sons, Inc, All Rights Reserved.
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The Comparison Test Let 0 a k b k for all k.. Mika Seppälä The Comparison Test Comparison Theorem A Assume that 0 a k b k for all k. If the series converges,
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The sum of the infinite and finite geometric sequence.
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