Suppose that {ak} and {bk} are real sequences such that ak 0 as k , Prove that

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Suppose that {ak} and {bk} are real sequences such that ak †’ 0 as k †’ ˆž,
Suppose that {ak} and {bk} are real sequences such that

Prove that ˆ‘ˆžk=1 akbk converges.

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