x2 f(x)= (3-х)* fonksiyonunun kuvvet serisi temsili ve bu serinin yakınsaklık aralığı aşağıdakilerden hangisidir? n.x" (a) -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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What is the power series representation of this function and the range of convergence of this function?

x2
f(x)=
fonksiyonunun kuvvet serisi temsili ve bu serinin yakınsaklık
(3-х)*
aralığı aşağıdakilerden hangisidir?
in
n.x
(a) E
- 3<x <3
(b) E
3n+2
3n
n.xn+2
n=1
- 3<x <3
n=1
n+2
(c) E
3n+2
n.x
-1<x <1
‚n+1
n.x'
(d) E
3n+1
n=1
- 3 <x <3
n=1
n+1
n.x
(e) Σ
3n+1
-1<x <1
n=1
Transcribed Image Text:x2 f(x)= fonksiyonunun kuvvet serisi temsili ve bu serinin yakınsaklık (3-х)* aralığı aşağıdakilerden hangisidir? in n.x (a) E - 3<x <3 (b) E 3n+2 3n n.xn+2 n=1 - 3<x <3 n=1 n+2 (c) E 3n+2 n.x -1<x <1 ‚n+1 n.x' (d) E 3n+1 n=1 - 3 <x <3 n=1 n+1 n.x (e) Σ 3n+1 -1<x <1 n=1
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