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Finding lim t->0

  1. Oct 16, 2013 #1
    Hi all,

    If we have
    [itex]H'(r)=r+\tau(r)H(r)[/itex]

    and

    [itex]\tau(r)=k+(H(r)/r)^a[/itex]

    where

    [itex]a>0, k>0, [/itex] and [itex]H(0)=0[/itex],

    can we say anything about [itex]{lim}_{r\rightarrow 0^+}\tau(r)[/itex]?

    Thanks a lot!
     
  2. jcsd
  3. Oct 16, 2013 #2

    Simon Bridge

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    Sure you can.
    Note - the trouble with evaluating the limit just by putting r=0 is the 0/0 in the second term right?
    So what role would the slope of H play in reconciling this problem?
     
  4. Oct 16, 2013 #3
    Yes, that fraction is the problem.

    I tried to solve it with l'Hopital's rule, but just got into a recursion, as expected...
     
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