It's interesting to note that since it is conditionally convergent, one can in fact rearrange the order of the terms in the series 1 - 1/2 + 1/3 - 1/4... to obt

It's interesting to note that since it is conditionally convergent, one can in fact rearrange the order of the terms in the series 1 - 1/2 + 1/3 - 1/4... to obtain a series that does in fact converge to 0. http://en.wikipedia.org/wiki/Riemann_series_theorem http://en.wikipedia.org/wiki/Riemann_series_theorem