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## Homework Statement

If [tex]\sum[/tex]a

_{n}

^{2}and [tex]\sum[/tex]b

_{n}

^{2}converge show that [tex]\sum[/tex]a

_{n}b

_{n}is absolutely convergent

## Homework Equations

## The Attempt at a Solution

I think I should do something with the statement 2ab[tex]\leq[/tex] a^2 + b^2