[₁ Let Cn(x-7)7 n+1 be a power series centred at 7. What is the power series representation for ΣCn+1(x-7)7 n 00 n=0 00 n=0 Σcn(7 n +1)(x-7)7 n n=0 n=0 Cn (7 n+2)! -(x-7)7 n+2 Cn Σ -(x-7)7 n+2 7 n+2 n=0 f(x)dx?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let C₂(x-7)7 n+1 be a power series centred at 7. What is the power series representation for
[
ΣCn+1(x-7)7 n
n=0
∞
n=0
∞
Ocn(7 n +1)(x-7)7 n
n=0
∞
n=0
00
Σ
n=0
Cn
(7 n+2)!
Cn
7 n+2
-(x-7)7 n+2
−(x−7)7 n+2
f(x)dx?
Transcribed Image Text:Let C₂(x-7)7 n+1 be a power series centred at 7. What is the power series representation for [ ΣCn+1(x-7)7 n n=0 ∞ n=0 ∞ Ocn(7 n +1)(x-7)7 n n=0 ∞ n=0 00 Σ n=0 Cn (7 n+2)! Cn 7 n+2 -(x-7)7 n+2 −(x−7)7 n+2 f(x)dx?
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