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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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