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The coefficients of the power series ,(x - 2)" satisfy ao = 5 and a, = "2л +1 an-1 for all n 21. The 3n-1 radius of convergence of the series is

The coefficients of the power series ,(x - 2)" satisfy ao = 5 and a, = "2л +1 an-1 for all n 21. The 3n-1 radius of convergence of the series is

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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The coefficients of the power series infΣn=0 an(x-2)^n satisfy a0=5 and an=(2n+1)/(3n-1)a(n-1) for all n>=1. What is the radius of convergence of the series?

The coefficients of the power series a„(x – 2)" satisfy ao (2n +1 3n -11"n-1 for all n 2 1. The 5 and a, = radius of convergence of the series is
Transcribed Image Text:The coefficients of the power series a„(x – 2)" satisfy ao (2n +1 3n -11"n-1 for all n 2 1. The 5 and a, = radius of convergence of the series is
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