f(x)= (3- What is the power series representation of the function and the range of convergence of this series? n.x" (a) -3 3n+2 3n n.x+2 n=1 - 3 3n+1 n.xn+1 n=1 - 3

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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7

x2
f(x)=.
(3-х)*
What is the power series representation of the function and the range of convergence
of this series?
(a) E
n.x
-3<x <3
Σ
3n+2
(b)
n.xn+2
3n
- 3<x <3
n=1
n=1
(c)
N.xn+2
-1<x <1
‚n+1
n.x
(d) E
3h+1
3n+2
- 3<x <3
n=1
n=1
(e)
-1<x <1
3h+1
n=1
IM:
Transcribed Image Text:x2 f(x)=. (3-х)* What is the power series representation of the function and the range of convergence of this series? (a) E n.x -3<x <3 Σ 3n+2 (b) n.xn+2 3n - 3<x <3 n=1 n=1 (c) N.xn+2 -1<x <1 ‚n+1 n.x (d) E 3h+1 3n+2 - 3<x <3 n=1 n=1 (e) -1<x <1 3h+1 n=1 IM:
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