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

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

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