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(A Calculator is not allowed for this problem) Forming Maclauring Series: Determine the first four terms of the Maclaurin series fo sin(2x). (a) by using the definition of the Maclaurin series and the formula for the coefficient of the nth term, an = fn (0) n! (b) by replacing x with 2x in the series for sin(x). (c) by multiplying 2 by the series for sin(x) by the series for cos(x), because sin(2x)=2.sin(x)cos(x)

(A Calculator is not allowed for this problem) Forming Maclauring Series: Determine the first four terms of the Maclaurin series fo sin(2x). (a) by using the definition of the Maclaurin series and the formula for the coefficient of the nth term, an = fn (0) n! (b) by replacing x with 2x in the series for sin(x). (c) by multiplying 2 by the series for sin(x) by the series for cos(x), because sin(2x)=2.sin(x)cos(x)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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You only need to do part A! It will be non-zero terms not zero terms!!
(A Calculator is not allowed for this problem) Forming Maclauring Series: Determine the first four terms of the Maclaurin series fo sin(2x). (a) by using the definition of the Maclaurin series and the formula for the coefficient of the nth term, an = fn (0) n! (b) by replacing x with 2x in the series for sin(x). (c) by multiplying 2 by the series for sin(x) by the series for cos(x), because sin(2x) = 2 sin(x)cos(x)
Transcribed Image Text:(A Calculator is not allowed for this problem) Forming Maclauring Series: Determine the first four terms of the Maclaurin series fo sin(2x). (a) by using the definition of the Maclaurin series and the formula for the coefficient of the nth term, an = fn (0) n! (b) by replacing x with 2x in the series for sin(x). (c) by multiplying 2 by the series for sin(x) by the series for cos(x), because sin(2x) = 2 sin(x)cos(x)
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