## Sum of two conditionally convergent series [closed]

Hi. Suppose I have two conditionally convergent series $\sum \limits_{n=1}^{\infty} s_n$ and $\sum \limits_{n=1}^{\infty} t_n$.
According to http://mathworld.wolfram.com/ConvergentSeries.html the series $\sum \limits_{n=1}^{\infty} s_n + t_n$ will then also be convergent. Does this hold for conditionally convergent series? (I just want to be sure :D) Also, if it holds, can one say anything about the value of $\sum \limits_{n=1}^{\infty} s_n + t_n$?
Thanks

-
This would be more appropriate for Math Stackexchange. – gowers Nov 1 2011 at 10:37
Okay... if you say so. But why? I thought I could post any math-related stuff here xD – iolo Nov 1 2011 at 10:45