a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the power series using summation notation. c. Determine the interval of convergence of the series. f(x) = In (1 + 4x) a. 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. Choose the correct answer below. (- 1)k+14k O A. 2 k k= 1 00 (- 1)k+14k O B. 2 k! k= 1 (- 1)K4k О с. k k= 1 (- 1)K4k+1 -xK+1 k! OD. Σ

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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a. Find the first four nonzero terms of the Maclaurin series for the given function.
b. Write the power series using summation notation
c. Determine the interval of convergence of the series.
f(x) = In (1 + 4x)
a. 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. Choose the correct answer below.
- 1)k+14k
00
Ο Α Σ
k
k= 1
00
(- 1)k+14k
О В.
k!
k=1
00
(- 1)K4k
Ос.
k
k= 1
(- 1)K4k+1
x**1
00
O D. 2
k!
Transcribed Image Text:a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the power series using summation notation c. Determine the interval of convergence of the series. f(x) = In (1 + 4x) a. 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. Choose the correct answer below. - 1)k+14k 00 Ο Α Σ k k= 1 00 (- 1)k+14k О В. k! k=1 00 (- 1)K4k Ос. k k= 1 (- 1)K4k+1 x**1 00 O D. 2 k!
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Thank you! I also forgot part c) The interval of convergence is:

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