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Student Support Forum: 'Limit returns unevaluated input' topicStudent Support Forum > General > "Limit returns unevaluated input"

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igor igel
07/14/12 03:20am

Thank you very much for your previous ideas, the Assumption m1>m0 could be exchanged by m1 and m0 element reals and because of the symmetry b1>b0 was not really a constraint.
Now we need a slighlty different limit: The "geometric mean of the function value of a linear changing gauss function at a specific x value". So before and after we have a gauss function but with different parameters. As the peak of the gauss bell should change linearly, unlike in the previous formula not the standard deviation itself should change linearly but the inverse of it.
Never mind the long story, following limit is searched for:

Limit[prd, n -> Infinity]

prd = Product[(1/\[Sqrt](2 \[Pi]) ((n - i)/(n b0) + i/(n b1)) E^(-1/
2 ((n - i)/n m0 + i/n m1 - x)^2 ((n - i)/(n b0) + i/(
n b1))^2))^(1/(n + 1)), {i, 0, n}]

The m0,m1,b0,b1,x are real and b0>0,b1>0
All four combinations of assumptions in the form of m1>m0,b1>b0 were tested, however the expression was returned unevaluated.

A FullSimplify of prd is running at the moment for 6 hours unterminated on a computer with sufficient ram (8 gb).

Any ideas would be highly appreciated.

Igor Igel

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Subject (listing for 'Limit returns unevaluated input')
Author Date Posted
Limit returns unevaluated input igor igel 06/20/12 06:17am
Re: Limit returns unevaluated input Bill Simpson 06/20/12 11:47am
Re: Re: Limit returns unevaluated input jf 06/21/12 10:50am
Re: Re: Re: Limit returns unevaluated input igor igel 06/21/12 1:41pm
Re: Re: Re: Re: Limit returns unevaluated input jf 06/21/12 1:56pm
Re: Re: Re: Re: Re: Limit returns unevaluated i... igor igel 06/22/12 09:13am
Re^6: Limit returns unevaluat... jf 06/23/12 6:39pm
Re: Limit returns unevaluated input igor igel 07/14/12 03:20am
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