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Asymptotic Equality

  1. May 4, 2006 #1
    If a,...,d are functions and a~b, c~d, can I conclude that a-c~b-d?
  2. jcsd
  3. May 4, 2006 #2


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    Science Advisor

    No. Example a=b=xn, c=xn-xn-1, d=xn-xn-2

    Fix n>1 and x->inf.
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