(a) Using the Ratio Test, or otherwise, determine the radius of convergence of the power series (n)² n" 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

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.CR: Chapter Review
Problem 6CC
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hey could anyone help me with this question please

(a) Using the Ratio Test, or otherwise, determine the radius of convergence of the power
series
(n)²
n"
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
(n²-5n³)
(3n²-8n jn (2+i)",
State the test that you are using and justify all of your steps.
Transcribed Image Text:(a) Using the Ratio Test, or otherwise, determine the radius of convergence of the power series (n)² n" 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 (n²-5n³) (3n²-8n jn (2+i)", State the test that you are using and justify all of your steps.
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