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

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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.
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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