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Limit Problem

• To: mathgroup at smc.vnet.net
• Subject: [mg17199] Limit Problem
• From: "Arturas Acus" <acus at itpa.lt>
• Date: Mon, 26 Apr 1999 01:20:41 -0400
• Sender: owner-wri-mathgroup at wolfram.com

Hello, 

I was unable to get the rezult of the following 
simple example (looks like an infinite loop)

 << Calculus`Limit`

Limit[Integrate[q^2*r^2*(Cos[q*r] - Sin[q*r]/(q*r)), r],r -> Infinity]]


Another question is the similar integral 

Integrate[r^2*(Cos[q*r] - Sin[q*r]/(q*r)), {r, 
0,Infinity},Assumptions->Im[q]==0]
    
Mathematica gives zero here, but we were expecting 
something proportional to DiracDelta here. 
                                     
Dr. Arturas Acus
Institute of Theoretical
Physics and Astronomy
Gostauto 12, 2600,Vilnius
Lithuania 


E-mail: acus at itpa.lt
   Fax: 370-2-225361
   Tel: 370-2-612906