(b) Using the Root Test, or otherwise, determine the radius of convergence of the power series (z-3i)". 8 n5n (4n4 + (1 + i)n³ — 4in5)n Σ n=1 State the test that you are using and justify all of your steps.
(b) Using the Root Test, or otherwise, determine the radius of convergence of the power series (z-3i)". 8 n5n (4n4 + (1 + i)n³ — 4in5)n Σ n=1 State the test that you are using and justify all of your steps.
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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Transcribed Image Text:(b) Using the Root Test, or otherwise, determine the radius of convergence of the power
series
(z-3i)".
n³n
Σ
(4n4 + (1 + i)n³ — 4in³)
n=1
State the test that you are using and justify all of your steps.
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