Complete parts a through c for the function below. f(x) = 8 sin 3x a. Find the first four nonzero terms of the Maclaurin series for the given function. The first nonzero term is 24x. 3 The second nonzero term is - 36x° 81 The third nonzero term is 243 7 X- 70 The fourth nonzero term is b. Write the power series using summation notation. 8 sin 3x = > k = 0 X.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...
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Complete parts a through c for the function below.
f(x) = 8 sin 3x
a. Find the first four nonzero terms of the Maclaurin series for the given function.
The first nonzero term is 24x.
3
The second nonzero term is - 36x°
81
The third nonzero term is
243 7
X-
70
The fourth nonzero term is
b. Write the power series using summation notation.
8 sin 3x = >
k = 0
X.
Transcribed Image Text:Complete parts a through c for the function below. f(x) = 8 sin 3x a. Find the first four nonzero terms of the Maclaurin series for the given function. The first nonzero term is 24x. 3 The second nonzero term is - 36x° 81 The third nonzero term is 243 7 X- 70 The fourth nonzero term is b. Write the power series using summation notation. 8 sin 3x = > k = 0 X.
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