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Internet Message Format  |  1992-07-25  |  865 b 
  1. Path: sparky!uunet!munnari.oz.au!ariel!ucsvc.ucs.unimelb.edu.au!lugb!lure.latrobe.edu.au!mattm
  2. From: mattm@lure.latrobe.edu.au
  3. Newsgroups: sci.math
  4. Subject: An interesting limit problem.
  5. Message-ID: <1992Jul25.212844.1@lure.latrobe.edu.au>
  6. Date: 25 Jul 92 11:28:44 GMT
  7. Sender: news@lugb.latrobe.edu.au (USENET News System)
  8. Organization: VAX Cluster, Computer Centre, La Trobe University
  9. Lines: 10
  10.  
  11. A challenge to all mathematicians. A 100 years ago, this would probably have 
  12. been solved fairly simply in a natural way, but can you? I think that this
  13. problem was first posed by the Russian mathematician Arnold. Hope you find this
  14. problem as interesting as I did when I first solved it.
  15.  
  16.                 sin(tan x)    -    tan(sin x)
  17.     lim  ----------------------------------  = ???
  18.     x->0 arcsin(arctan x) - arctan(arcsin x)
  19.  
  20. Tim    email: mattm@lure.latrobe.edu.au
  21.