(b) Using the Root Test, or otherwise, determine the radius of convergence of the power series n³n ·(4nª + (1 + i)n³ — 4in³)n (z-3i)". State the test that you are using and justify all of your steps.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(b) Using the Root Test, or otherwise, determine the radius of convergence of the power
series
n³n
Σ
(4nª + (1 + i)n³ − 4in³)¹
(z-3i)".
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 n³n Σ (4nª + (1 + i)n³ − 4in³)¹ (z-3i)". n=1 State the test that you are using and justify all of your steps.
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