Re: An exact 1-D limit challenge - 1

From: G. A. Edgar (edgar_at_math.ohio-state.edu.invalid)
Date: 02/25/05


Date: Fri, 25 Feb 2005 13:17:10 -0500


>
> restart;
>
> sol:=assume(u>=0,d>0,c>0,d>c),-1/2*int(-1/u^(1/2)+(1/u^(1/2)/(u+1)^(1/2)*(u+2)
> ^(1/2)),
> u=1/d^2..1/c^2);
>
> and consider the left endpoint does not contribute singularity.
>
> Chris

Now I end up having to do the limit
  -1/2*2^(1/2)*EllipticPi(1/(c^2+1)^(1/2), 1, 1/2*2^(1/2))+1/c
as c -> infinity.

-- 
G. A. Edgar                               http://www.math.ohio-state.edu/~edgar/


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