- #1

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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!

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- Thread starter urbanist
- Start date

- #1

- 9

- 0

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

Simon Bridge

Science Advisor

Homework Helper

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

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