Consider the power series P (x) = ∞ ∑ (2n/5n+1)xn=1/2+x/3+2x2/13+43/64+... n=0 (a) Find its radius of convergence R. (b) Find its interval of convergence.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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 Consider the power series P (x) =

∑ (2n/5n+1)xn=1/2+x/3+2x2/13+43/64+...
n=0
(a) Find its radius of convergence R.
(b) Find its interval of convergence.

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