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 2n „n+2 -2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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In which of the following options are the power series representa tion of the
x3
function f(x)=
and the interval of convergence of this series given?
(2-x)?
n+1
n.x
(a) >
2"
- 2<x < 2
n+2
n.x
(b)
- 2<x<2
n=1
2n+1
n=1
n+1
n.x
(c)
- 2<x < 2
n+1
n.x
2n+2
(d)
-1<x <1
2n+2
n=1
n=1
n+2
n.x
(e)
-1<x <1
2n+1
n=1
IM:
Transcribed Image Text:In which of the following options are the power series representa tion of the x3 function f(x)= and the interval of convergence of this series given? (2-x)? n+1 n.x (a) > 2" - 2<x < 2 n+2 n.x (b) - 2<x<2 n=1 2n+1 n=1 n+1 n.x (c) - 2<x < 2 n+1 n.x 2n+2 (d) -1<x <1 2n+2 n=1 n=1 n+2 n.x (e) -1<x <1 2n+1 n=1 IM:
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