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Find the radius of convergence for each of the following power series xn 3nn! (a) f(x) = = (e) q(x) (c) h(x) = Σn²xn iM8 iM8 iM8 = nxn 3n n!(x - 1)n 2nnn (b) g(x) = = (d) p(x) = = n=0 n=0 x²n loge (1 + n) (f) r(x) = (1+n)"x" n=0

Find the radius of convergence for each of the following power series xn 3nn! (a) f(x) = = (e) q(x) (c) h(x) = Σn²xn iM8 iM8 iM8 = nxn 3n n!(x - 1)n 2nnn (b) g(x) = = (d) p(x) = = n=0 n=0 x²n loge (1 + n) (f) r(x) = (1+n)"x" n=0

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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. Find the radius of convergence for each of the following power series xn 3nn! f(x) = Σ = n=0 (a) f(x) (c) h(x) h(x) = Eng" n=0 q(x) = Σ n=0 nxn 3η (e) q(2) n!(x − 1)η 2"nn (b) g(x) = α Σ n=0 2η loge(1 + n) (f)r(x) = Σ(1+n)"an (d) p(x) = Σ = n=0 n=0
Transcribed Image Text:. Find the radius of convergence for each of the following power series xn 3nn! f(x) = Σ = n=0 (a) f(x) (c) h(x) h(x) = Eng" n=0 q(x) = Σ n=0 nxn 3η (e) q(2) n!(x − 1)η 2"nn (b) g(x) = α Σ n=0 2η loge(1 + n) (f)r(x) = Σ(1+n)"an (d) p(x) = Σ = n=0 n=0
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