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16) The series Σ(-1)+1 76mm 1 a) True b) False converges conditionally. 17) de converges if and only if p > 1. a) True b) False 18) Suppose that that the power series Σar" converges at x = -3. Then the power 1-0 series converges at x = 2. a) True b) False

16) The series Σ(-1)+1 76mm 1 a) True b) False converges conditionally. 17) de converges if and only if p > 1. a) True b) False 18) Suppose that that the power series Σar" converges at x = -3. Then the power 1-0 series converges at x = 2. a) True b) False

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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16) The series (-1)"+1 arctan(n) converges conditionally. a) True b) False 17) de converges if and only if p > 1. IP a) True b) False 18) Suppose that that the power series and converges at x = -3. Then the power series converges at x = 2. n=0 a) True b) False n=1 19) Given a power series Σa", if lim an+1 = L where 0 <L<∞, then the radius 71=0 16-400 an of convergence is L. a) True b) False 20) Given a power series ana", if lim n+1 = ∞o, then the power series converges for an n-x all a € R. a) True b) False 72=0
Transcribed Image Text:16) The series (-1)"+1 arctan(n) converges conditionally. a) True b) False 17) de converges if and only if p > 1. IP a) True b) False 18) Suppose that that the power series and converges at x = -3. Then the power series converges at x = 2. n=0 a) True b) False n=1 19) Given a power series Σa", if lim an+1 = L where 0 <L<∞, then the radius 71=0 16-400 an of convergence is L. a) True b) False 20) Given a power series ana", if lim n+1 = ∞o, then the power series converges for an n-x all a € R. a) True b) False 72=0
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