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2.1 Consider the power series an (z – 2+ 3i)2". n=0 (a) If 0 < L < ∞ is the radius of convergence of the given series, what is lim nt? an+1 (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?

2.1 Consider the power series an (z – 2+ 3i)2". n=0 (a) If 0 < L < ∞ is the radius of convergence of the given series, what is lim nt? an+1 (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?

Advanced Engineering Mathematics
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

2.1 Consider the power series E an(z – 2+ 3i)2". n=0 (a) If 0 < L< ∞ is the radius of convergence of the given series, what is lim nt? an+1 (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?
Transcribed Image Text:2.1 Consider the power series E an(z – 2+ 3i)2". n=0 (a) If 0 < L< ∞ is the radius of convergence of the given series, what is lim nt? an+1 (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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