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Algebraic Sum (re:)
Posted:
Jun 18, 1996 7:11 AM


Somebody asked for a series that sums to an algebraic irrational a time ago. With easy rational summands, of course.
And here is the easy answer: Compute the MacLaurin series of sqrt(1+x). Terms are like 1*3*5*7/2*4*6*8 or the like. I hope x=1 is within the convergence radius (and if not,x=1/2 surely is!) Thus you get a nice series for sqrt(2).  Hauke Reddmann <:EX8 fc3a501@math.unihamburg.de PRIVATE EMAIL fc3a501@rzaixsrv1.rrz.unihamburg.de BACKUP reddmann@chemie.unihamburg.de SCIENCE ONLY



