Hi all,(adsbygoogle = window.adsbygoogle || []).push({});

A friend of mine asked me if i had any ideas about the following problem, i tackled it but with no success, so i thought i would post it here.

It is not a homework problem, or a regular textbook problem.

Problem:

If we know that a series with positive terms :

[tex]\sum_{i=1}^{\infty}a_i<\infty[/tex]

Then what can we say about the nature of the series:

[tex]\sum_{i=1}^{\infty}\sqrt{\frac{a_i}{i}}[/tex]

?

Thanks!

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# A hard series Convergence?

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