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 The second nonzero term is The third nonzero term is The fourth nonzero term is b. Write the power series using summation notation. 2 sin 3x = k=0 c. Determine the interval of convergence of the series.
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 The second nonzero term is The third nonzero term is The fourth nonzero term is b. Write the power series using summation notation. 2 sin 3x = k=0 c. Determine the interval of convergence of the series.
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.
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
The second nonzero term is.
The third nonzero term is
The fourth nonzero term is
b. Write the power series using summation notation.
ΣΟ
k= 0
2 sin 3x =
c. Determine the interval of convergence of the series.
The interval of convergence is.
(Simplify your answer. Type your answer in interval notation.)
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