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Text File  |  1992-11-19  |  629 b   |  16 lines
  1. Organization: Mathematics, Carnegie Mellon, Pittsburgh, PA
  2. Path: sparky!uunet!cs.utexas.edu!zaphod.mps.ohio-state.edu!cis.ohio-state.edu!news.sei.cmu.edu!fs7.ece.cmu.edu!crabapple.srv.cs.cmu.edu!andrew.cmu.edu!ow0a+
  3. Newsgroups: sci.math
  4. Message-ID: <8f2zek_00iUxI54m8P@andrew.cmu.edu>
  5. Date: Thu, 19 Nov 1992 15:36:00 -0500 
  6. From: Oswald Wyler <ow0a+@andrew.cmu.edu>
  7. Subject: Re: 1 + 1/2 + 1/3 + ... + 1/n
  8. Lines: 6
  9.  
  10. Call the sum 1/n.  Then by integration
  11. h(n) - 1 < ln n < h(n-1).
  12. So the n for which the sum becomes 100 is between e^99 and e^100.
  13. This makes it clear that numerical computation, with roundoff errors,
  14. is useless.
  15.  
  16.