11 Sep
2015
11 Sep
'15
11:56 p.m.
One very bogus analysis is that 1 - 1/2 + 1/3 - 1/4 + ... equals the difference (1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + ...) - 2(1/2)(1 + 1/2 + 1/3 + . . .) _____________________________________________ = (1 + 1/2 + 1/3 + ...) - (1 + 1/2 + 1/3 + ...) = 0 —Dan
On Sep 11, 2015, at 12:48 PM, James Propp <jamespropp@gmail.com> wrote:
P.S. I'm sure I've seen a slicker and easier-to-follow bogus analysis of 1 - 1/2 + 1/3 - 1/4 + ... than the one I give in the End Notes; my high school math teacher Mr. Brenner showed it to me forty years ago, but for some reason I'm unable to reconstruct it. I'm sure it's out there, in print if not on the web. Can anyone provide a lead?