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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

86.0. "Integral=Sum" by HARE::STAN () Wed Jun 27 1984 23:47

Newsgroups: net.math
Path: decwrl!decvax!harpo!floyd!cmcl2!seismo!rlgvax!cvl!umcp-cs!nbs-amrf!hopp
Subject: Interesting equation
Posted: Tue Jun 12 18:45:39 1984


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).
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