Finding lim t->0

  • Thread starter urbanist
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  • #1
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Main Question or Discussion Point

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!
 

Answers and Replies

  • #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?
 
  • #3
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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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