5. Suppose that lakl ::; Ibkl for large k. Prove that if 2:%=1 bkxk converges on an...

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5. Suppose that lakl ::; Ibkl for large k. Prove that if 2:%"=1 bkxk converges on an open interval I, then 2:;;:1 akxk also converges on I. Is this result true if

"open" is omitted?

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