f(x)=- fonksiyonunun kuvvet serisi temsili ve bu serinin yakınsaklık (4 – x)² aralığı aşağıdakilerden hangisidir? n.x' n+1 (a) -1 n.x" -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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power series representation of the function and the range of convergence of this series?

X
f(x)=-
(4-x)²
fonksiyonunun kuwet serisi temsili ve bu serinin yakınsaklık
aralığı aşağıdakilerden hangisidir?
(a) E
4"
n.xn+1
-1<x <1
n+1
n.x
(b)
-4<x <4
n=1
4h
n=1
n.x"
(c) E:
- 4<x <4
n.x"
4n+1
n=1
(d) E
-1<x<1
4h+1
n=1
(e)
n.xn+2
-4<x<4
4h+1
n=1
Transcribed Image Text:X f(x)=- (4-x)² fonksiyonunun kuwet serisi temsili ve bu serinin yakınsaklık aralığı aşağıdakilerden hangisidir? (a) E 4" n.xn+1 -1<x <1 n+1 n.x (b) -4<x <4 n=1 4h n=1 n.x" (c) E: - 4<x <4 n.x" 4n+1 n=1 (d) E -1<x<1 4h+1 n=1 (e) n.xn+2 -4<x<4 4h+1 n=1
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