Wikipedia Talk:1 + 2 + 4 + 8 + ... s = 1 + 2s, s = infinity The problem is that infinity is a fixed point of every map z -> c + rz, for finite c and nonzero r, so this gives infinity as an alternate solution of every geometric series. It seems a little less remarkable that way. I wish someone could tell us what Hardy actually said about this. - Dan Hoey 23:35, 17 April 2007 (UTC)