8. The Maclaurin series for f(x) = ln(1 + 2) is given by (-1)-1 n for -1 < x≤ 1. (a) n=1 Write the Maclaurin series for g(x) = ln(1+x/5). (b) you do not need to use the ratio test to answer this question. What is the radius of convergence of the power series you wrote in part (a)? Note that
8. The Maclaurin series for f(x) = ln(1 + 2) is given by (-1)-1 n for -1 < x≤ 1. (a) n=1 Write the Maclaurin series for g(x) = ln(1+x/5). (b) you do not need to use the ratio test to answer this question. What is the radius of convergence of the power series you wrote in part (a)? Note that
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Calculus II
![8. The Maclaurin series for f(x) = ln(1 + x) is given by
(−1)n-1n
n
for -1 < x≤ 1.
(a)
n=1
Write the Maclaurin series for g(x) = ln(1+x/5).
(b).. What is the radius of convergence of the power series you wrote in part (a)? Note that
you do not need to use the ratio test to answer this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c49f70f-02c0-4076-b0a5-564b9a6f1d8d%2F1b56f26e-e26d-4623-91f3-43368bc0bc63%2Fqoyl4c_processed.png&w=3840&q=75)
Transcribed Image Text:8. The Maclaurin series for f(x) = ln(1 + x) is given by
(−1)n-1n
n
for -1 < x≤ 1.
(a)
n=1
Write the Maclaurin series for g(x) = ln(1+x/5).
(b).. What is the radius of convergence of the power series you wrote in part (a)? Note that
you do not need to use the ratio test to answer this question.
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