I personally found the part of the article about Abel summation[1] much more enlightening. It really seems to indicate why 1 - 2 + 3 ... = 1/4 instead of just

I personally found the part of the article about Abel summation[1] much more enlightening. It really seems to indicate why 1 - 2 + 3 ... = 1/4 instead of just showing that 1/4 arises if you look at the sums a certain way. [1]: http://en.wikipedia.org/wiki/1_−_2_%2B_3_−_4_%2B_·_·_·#Abel_summation http://en.wikipedia.org/wiki/1_−_2_%2B_3_−_4_%2B_·_·_·#Abel_...