10 Feb
2013
10 Feb
'13
2:03 p.m.
And it's well known that 1 - 1/2 + 1/3 - 1/4 + ... converges to the natural log of 2.
Oh, that's sooooo much simpler than what I did! And I bet it's possible to make it rigorous enough despite the fact that the series isn't absolutely convergent.
Yes, just take the first n! terms, and let n tend to infinity. Sincerely, Adam P. Goucher