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. Find the radius of convergence for each of the following power series xn 3″n! (a) (c) ∞ f(x) = Σ n=0 ∞ h(x) = (e) q(x) = n=0 n=0 nxn 3n n²xn n! (x - 1)n 2nnn (b) g(x) = = n=0 ∞ (d)_p(x) = Σ n=0 8 (f)_r(x) = n=0 x²n loge (1 + n) (1+n)™¹x²

. Find the radius of convergence for each of the following power series xn 3″n! (a) (c) ∞ f(x) = Σ n=0 ∞ h(x) = (e) q(x) = n=0 n=0 nxn 3n n²xn n! (x - 1)n 2nnn (b) g(x) = = n=0 ∞ (d)_p(x) = Σ n=0 8 (f)_r(x) = n=0 x²n loge (1 + n) (1+n)™¹x²

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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I need help with c and e please.

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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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