Use the power series f(x) = In (1-x) = -for-1sx<1, to find the power series representation for the following function (centered at 0). Give the interval of convergence of the new series. p(x)=9x® In (1-x) Which of the following is the power series representation for p(x)? O A. OC. SNI SNI k=1 -9 9k k=1 k O B. O D. Σ In (1-(9x)8+k) k=1 -9 00 8+k k=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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Use the power series f(x) = In (1-x) = -for-1≤ x <1, to find the power series representation for the following function (centered at 0). Give the interval of convergence of the new series.
p(x)=9x8
A.
Which of the following is the power series representation for p(x)?
O C.
In (1-x)
-8>
IM8 IM8
k=1
(…)
O B.
O D.
Σ In (1-(9x)8+k)
k=1
-9 >
k=1
8+k
k
Transcribed Image Text:00 k Use the power series f(x) = In (1-x) = -for-1≤ x <1, to find the power series representation for the following function (centered at 0). Give the interval of convergence of the new series. p(x)=9x8 A. Which of the following is the power series representation for p(x)? O C. In (1-x) -8> IM8 IM8 k=1 (…) O B. O D. Σ In (1-(9x)8+k) k=1 -9 > k=1 8+k k
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