Does this series converge or diverge?

From: nicegirl_130@xxxxxxxxx
Date: Sat, 1 Dec 2007 06:59:34 -0800 (PST)

\Sum(n =1, oo) (1 + sin(n))/sqrt(n).

I tried everythiing I know, but nothing worked, total frustration.
Is the fact that sin(n) is dense in [0, 1] useful here?

Thank you
Sharon
.

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