(4) Decide if the following statements are true or false. If true, explain why. If false, give a coun- terexample. (a) If the power series > an(x– n1)" is converges at r = A 1, then it must be convergent at x = 5. :-T n=0 An (b) The power seires > anx" and the power series - x"+1 have the same interval n +1 n=0 n=0 of convergence.
(4) Decide if the following statements are true or false. If true, explain why. If false, give a coun- terexample. (a) If the power series > an(x– n1)" is converges at r = A 1, then it must be convergent at x = 5. :-T n=0 An (b) The power seires > anx" and the power series - x"+1 have the same interval n +1 n=0 n=0 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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