Parametric Numerical Integral

*To*: mathgroup at smc.vnet.net*Subject*: [mg63095] Parametric Numerical Integral*From*: "Nikola Letic" <nletic at yahoo.com>*Date*: Wed, 14 Dec 2005 04:35:57 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

Hello, I have the following problem: I define a parametric integral as follows: int[p_]:=NIntegrate[If[t == 0, 0,1/(E^((1/2)*(-2 + 1/t)^2)*(Sqrt[2*Pi]*t))],{t, -p, p}, MaxRecursion -> 50,WorkingPrecision -> 50] it works fine for numerical values of p such as int[10], but when I try something like this: << NumericalMath`NLimit` NLimit[int[p], p -> Infinity] it ends up with error messages: NIntegrate::nlim: t = 1.00000 p is not a valid limit of integration. Now I tought that NLimit should also deal only with numerical values, but I was wrong. Seems that the way I defined this function above has serious limitations in its further usage. Does any of you Mathematica Gurus know an easy workaround for this? Thanks in advance Nikola Letic