6. Find the radius of convergence for each of the following power series: 8 ∞ 00 (a) Σ d'z", a e C; (b) Σ anz", a e C; (c) Σ k"z", k an integer #0; (d) Σ z": E ac a Σε n=0 n=0 n=0 n = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. Find the radius of convergence for each of the following power series:
00
8
(a) Σ a"z", a € C; (b) Σ anz", a € C; (c) Σ k"z", k an integer #0; (d) Σ z":
€ k
n--0
n=0
n=0
n=0
Transcribed Image Text:6. Find the radius of convergence for each of the following power series: 00 8 (a) Σ a"z", a € C; (b) Σ anz", a € C; (c) Σ k"z", k an integer #0; (d) Σ z": € k n--0 n=0 n=0 n=0
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