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
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closed as off topic by gowers, Simon Thomas, Igor Rivin, Gerry Myerson, Emil Jeřábek Nov 1 2011 at 11:41 |

