00 Use the geometric series f(x) = 7y= 2 x*, for |x| < 1, to find the power series representation for the following function (centered at 0). Give the interval of convergence of the new series. %3D 1-x k= 0 f(4x) = 7- 4x Which of the following is the power series representation for f(4x)? 00 00 1 O A. E O B. E x4k 1-(4x)k k= 0 k= 0 00 00 Oc. E (4x)k Ο D. Σ 4x k= 0 k= 0 The interval of convergence is (Simplify your answer. Type your answer in interval notation.)
00 Use the geometric series f(x) = 7y= 2 x*, for |x| < 1, to find the power series representation for the following function (centered at 0). Give the interval of convergence of the new series. %3D 1-x k= 0 f(4x) = 7- 4x Which of the following is the power series representation for f(4x)? 00 00 1 O A. E O B. E x4k 1-(4x)k k= 0 k= 0 00 00 Oc. E (4x)k Ο D. Σ 4x k= 0 k= 0 The interval of convergence 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
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use the geometric series f(x) =
= 2 x*, for |x| < 1, to find the power series representation for the following function (centered at 0). Give the interval of convergence of the new series.
k= 0
f(4x) = 7- 4x
Which of the following is the power series representation for f(4x)?
00
1
O A. E
OB.
E x4k
1-(4x)k
k= 0
k= 0
00
O C. Σ (4x)
OD.
E 4x*
k = 0
k= 0
The interval of convergence is
(Simplify your answer. Type your answer in interval notation.)
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