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 com k=1 f(7x) = In (1 – 7x) Which of the following is the power series representation for f(7x)? O A. E in (1-(7x) O B. (7x)* k=1 k=1 OC. OD. 00 Tk k=1 k-1 The interval of comvergence is (Simplify your answer. Type your answer in interval notation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 com
k=1
f(7x) = In (1 – 7x)
Which of the following is the power series representation for f(7x)?
O A. 0
E in (1-(73)
O B.
(7x)
k=1
k=1
C.
OD.
Σ
00
k=1
k=1
The interval of convergence is
(Simplify your answer. Type your answer in interval notation.)
3°C
Cloudy
Transcribed Image Text: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 com k=1 f(7x) = In (1 – 7x) Which of the following is the power series representation for f(7x)? O A. 0 E in (1-(73) O B. (7x) k=1 k=1 C. OD. Σ 00 k=1 k=1 The interval of convergence is (Simplify your answer. Type your answer in interval notation.) 3°C Cloudy
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