Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10 beta 3/9/83; site nbs-amrf.UUCP Path: utzoo!watmath!clyde!burl!hou3c!hocda!houxm!houxz!vax135!floyd!cmcl2!seismo!rlgvax!cvl!umcp-cs!nbs-amrf!hopp From: hopp@nbs-amrf.UUCP Newsgroups: net.math Subject: Interesting equation Message-ID: <320@nbs-amrf.UUCP> Date: Tue, 12-Jun-84 21:45:39 EDT Article-I.D.: nbs-amrf.320 Posted: Tue Jun 12 21:45:39 1984 Date-Received: Thu, 14-Jun-84 00:05:29 EDT Organization: National Bureau of Standards Lines: 19 From the American Mathematical Monthly, Vol 91, No. 6 (June-July 1984), p. 352: Miscellanea #128. Proper integrals are just like sums, we always say. Are they? Could the equation 1 infinity / ---- | -x \ -n | x dx = / n / ---- 0 n=1 be true? (Taken from G. Polya and G. Szego, Problems and Theorems in Analysis, Vol. 1, Springer, Berlin, 1972; Part I, Ch. 4, no.160).