What is the power series representation of the function (2– x)² convergence of this series? and the range of (a) S n.x"+l 2n n+1 - 2

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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x3
f(x)=
What is the power series representation of the function
(2-x)
convergence of this series?
and the range of
n+1
n.x
(a) >
2"
-2<x < 2
(b) E
2n+1
n.x"+2
-2<x<2
n=1
n=1
(c) S
n.x"+1
- 2<x < 2
n+1
n.x
2n+2
n=1
(d) E-
2n+2
-1<x <1
n=1
n.x+2
2n+1
(e) >
-1<x <1
n=1
|
Transcribed Image Text:x3 f(x)= What is the power series representation of the function (2-x) convergence of this series? and the range of n+1 n.x (a) > 2" -2<x < 2 (b) E 2n+1 n.x"+2 -2<x<2 n=1 n=1 (c) S n.x"+1 - 2<x < 2 n+1 n.x 2n+2 n=1 (d) E- 2n+2 -1<x <1 n=1 n.x+2 2n+1 (e) > -1<x <1 n=1 |
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