In which of the following options are the power series representation of the x3 function f(x)= and the interval of convergence of this series given? (2– x)² n+1 n.x (a) E 2" - 2 2n+1 n=1 - 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In which of the following options are the power series representation of the
x3
function f(x)=
and the interval of convergence of this series given?
(2– x)²
n+1
n.x
(a) E
2"
- 2<x <2
n+2
n.x'
(b) >
2n+1
n=1
- 2<x< 2
n=1
n.x"+1
2n+2
(c)
- 2<x < 2
n.xn+1
(d)
-1<x <1
2n+2
n=1
n=1
(e) E
2n+1
n.xn+2
-1<x <1
n=1
Transcribed Image Text:In which of the following options are the power series representation of the x3 function f(x)= and the interval of convergence of this series given? (2– x)² n+1 n.x (a) E 2" - 2<x <2 n+2 n.x' (b) > 2n+1 n=1 - 2<x< 2 n=1 n.x"+1 2n+2 (c) - 2<x < 2 n.xn+1 (d) -1<x <1 2n+2 n=1 n=1 (e) E 2n+1 n.xn+2 -1<x <1 n=1
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