Consider the power series ∑∞n=0 an(z - 2 + 3i)2n. (a) If 0 < L < ∞ is the radius of convergence of the given series, what is limn→∞ |an+1/an| ? (Possibly in terms of L). (b) If the radius of convergence of the above series is L = 0, what conclusion can be made about the convergence of the given seri
Consider the power series ∑∞n=0 an(z - 2 + 3i)2n. (a) If 0 < L < ∞ is the radius of convergence of the given series, what is limn→∞ |an+1/an| ? (Possibly in terms of L). (b) If the radius of convergence of the above series is L = 0, what conclusion can be made about the convergence of the given seri
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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2.1 Consider the power series ∑∞n=0 an(z - 2 + 3i)2n.
(a) If 0 < L < ∞ is the radius of convergence of the given series, what is limn→∞ |an+1/an| ? (Possibly in terms of L).
(b) If the radius of convergence of the above series is L = 0, what conclusion can be made about the convergence of the given series?
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