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Question 3 (a) Using the Ratio Test, or otherwise, determine the radius of convergence of the power series in 72" In n -(z + 3)". n=2 State the test that you are using and justify all of your steps. C

Question 3 (a) Using the Ratio Test, or otherwise, determine the radius of convergence of the power series in 72" In n -(z + 3)". n=2 State the test that you are using and justify all of your steps. C

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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3a,b

Question 3 (a) Using the Ratio Test, or otherwise, determine the radius of convergence of the power series in Σ7 (z+3)¹. 72" Inn n=2 State the test that you are using and justify all of your steps. (b) Find all the branch points and the discontinuity points of the function Justify all of your steps. f(z) = In(z²-4) z-√z²+5
Transcribed Image Text:Question 3 (a) Using the Ratio Test, or otherwise, determine the radius of convergence of the power series in Σ7 (z+3)¹. 72" Inn n=2 State the test that you are using and justify all of your steps. (b) Find all the branch points and the discontinuity points of the function Justify all of your steps. f(z) = In(z²-4) z-√z²+5
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