27. Determine the circles of convergence of the power series: M8 (1 n=1 1 · 2i)n+1 (z - - – 2i)", ∞ Σ n=1 2n 'n(1 + i) =”, IM 8 n=1 (−1)" n2n -(z − 1 + i)n.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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27. Determine the circles of convergence of the power series:
M8
(1
n=1
1
· 2i)n+1 (z -
-
– 2i)",
∞
Σ
n=1
2n
'n(1 + i) =”,
IM 8
n=1
(−1)"
n2n
-(z − 1 + i)n.
Transcribed Image Text:27. Determine the circles of convergence of the power series: M8 (1 n=1 1 · 2i)n+1 (z - - – 2i)", ∞ Σ n=1 2n 'n(1 + i) =”, IM 8 n=1 (−1)" n2n -(z − 1 + i)n.
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