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igor igel
06/20/12 06:17am

Hi,
what does it mean when one gets the Input as an Output when trying to solve some symbolic problem?

In practice we have following function:

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


After evaluating and then FullSimplify we get:

(2 \[Pi])^(-(1/
2 )) (((b0 - b1) (b0 + b1) (m0 -
m1) (-b1^2 (m0 + m1 (-1 + n) + 3 m0 n - 4 n x) +
b0^2 (m0 - m1 + m0 n + 3 m1 n - 4 n x)) +
2 n (b1^2 (m0 - x) +
b0^2 (-m1 + x))^2 (HarmonicNumber[(b0^2 n)/(b0^2 - b1^2)] -
HarmonicNumber[(b1^2 n)/(b0^2 - b1^2)]))/(
4 (b0 - b1)^3 (b0 + b1)^3))/
Sqrt[(((b0 - b1) (b0 + b1))/n)^
n Pochhammer[1 + (b1^2 n)/(b0^2 - b1^2), n]]

but unfortunatly Lim[%,n->Infinity] is returning the argument.

Assumptions are:

$Assumptions =
b1 > 0 && b1 > 0 && m0 \[Element] Reals && m1 \[Element] Reals &&
x \[Element] Reals && n \[Element] Integers && n > 0

I would appreciate any ideas very much.

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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