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(4) Decide if the following statements are true or false. If true, explain why. If false, give a coun- terexample. (a) If the power scrics a„(x–n)" is converges at r = 1, then it must be convergent at r = 5. (b) The power seires Ana" and the power series -2" | | have the same interval n+1' 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 scrics a„(x–n)" is converges at r = 1, then it must be convergent at r = 5. (b) The power seires Ana" and the power series -2" | | have the same interval n+1' n=0 of convergence.

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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(4) Decide if the following statements are true or false. If true, explain why. If false, give a coun- terexample. (a) If the power scrics a„(x–n)" is converges at r = 1, then it must be convergent at r = 5. (b) The power seires Ana" and the power series -2" | | have the same interval n+1' n=0 of convergence.
Transcribed Image Text:(4) Decide if the following statements are true or false. If true, explain why. If false, give a coun- terexample. (a) If the power scrics a„(x–n)" is converges at r = 1, then it must be convergent at r = 5. (b) The power seires Ana" and the power series -2" | | have the same interval n+1' n=0 of convergence.
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