Complete parts a through c for the function below. f(x) = 2 sin 3x a. Find the first four nonzero terms of the Maclaurin series for the given function. The first nonzero term is 6x . The second nonzero term is - 9x. 81 The third nonzero term is 20 243 7 The fourth nonzero term is 280 b. Write the power series using summation notation. 2 sin 3x =

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.1: Sequences And Series
Problem 9ECP: For the series i=1510i find (a) the fourth partial sum and (b) the sum. Notice in Example 9(b) that...
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Complete parts a through c for the function below.
f(x) = 2 sin 3x
a. Find the first four nonzero terms of the Maclaurin series for the given function.
The first nonzero term is 6x .
The second nonzero term is - 9x.
81
The third nonzero term is
20
243 7
The fourth nonzero term is
280
b. Write the power series using summation notation.
2 sin 3x =
Transcribed Image Text:Complete parts a through c for the function below. f(x) = 2 sin 3x a. Find the first four nonzero terms of the Maclaurin series for the given function. The first nonzero term is 6x . The second nonzero term is - 9x. 81 The third nonzero term is 20 243 7 The fourth nonzero term is 280 b. Write the power series using summation notation. 2 sin 3x =
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