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Can someone please help me to

prove or give a counter example is sum ai and sum bi are convergent series with non-negative terms then sum aibi converges

I believe that if it doesn't say "non-negative terms" then this wouldn't be true. Am I correct?

Since each of two non-negative series converges then the series sum ai bi converges also. However I am not sure how to prove this.

thanks

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# Prove or give a counter example is sum ai and sum bi are convergent series with non-n

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