(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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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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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