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From: revans@euclid.ucsd.edu (Ron Evans)
Newsgroups: sci.math,comp.theory.dynamic-sys
Subject: Challenging limit problem (involving x^2 + c for c=-3/2)
Keywords: recurrence sequence, iterative mappings, limit point
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Date: 29 Mar 91 01:14:47 GMT
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Consider the sequence x  , x  ,...  defined by  x  = 0, 
                       0    1                    0              
         2
x    = x   -  3/2 .  TRUE OR FALSE:  lim inf x   =  - 3/2 ?
 n+1    n                                     n



    To provide some incentive to solve this, let me say, yes,
this is a homework problem.
    Perhaps the best chance for a solution lies with a powerful
Russian mathematician, so I hope this posting reaches Harvard.

   Ron Evans (revans@math.ucsd.edu)
Ron Evans, Department of Mathematics, UCSD  (revans@math.ucsd.edu)