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Let fsxd a1 sin x 1 a2 sin 2x 1 1 an sin nx, where a1, a2,

Calculus | 8th Edition | ISBN: 9781285740621 | Authors: James Stewart ISBN: 9781285740621 127

Solution for problem 19 Chapter 4

Calculus | 8th Edition

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Calculus | 8th Edition | ISBN: 9781285740621 | Authors: James Stewart

Calculus | 8th Edition

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Problem 19

Let fsxd a1 sin x 1 a2 sin 2x 1 1 an sin nx, where a1, a2, . . . , an are real numbers and n is a positive integer. If it is given that | fsxd | < | sin x | for all x, show that | a1 1 2a2 1 1 nan | < 1

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1.2 Finding limits Graphically To find the limit graphically of a function you have to follow the function from both the positive side and from the negative side of the coordinate system towards the number x approaches. For example, For this function as x approaches -2, if you follow the function from both sides the limit equals 4. 1.3 Finding limits Numerically To find the limit of a function numerically there are different step you have to take: 1. To start finding the limit of a function you have to substitute the number that approaches x in the limit. For example, lim (3 + 2) = 3(-3) + 2 = -7 ▯→▯▯ 2. In the case that the limit is unsolvable by substitution you have to simplify the function by

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Chapter 4, Problem 19 is Solved
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Textbook: Calculus
Edition: 8
Author: James Stewart
ISBN: 9781285740621

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Let fsxd a1 sin x 1 a2 sin 2x 1 1 an sin nx, where a1, a2,