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MathGroup Archive 2006

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Problem with Limit

  • To: mathgroup at smc.vnet.net
  • Subject: [mg66805] Problem with Limit
  • From: "Tony Harker" <a.harker at ucl.ac.uk>
  • Date: Wed, 31 May 2006 06:30:52 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Can anybody explain why, for 

t =Sqrt[(k*m1 + k*m2 + m1*g + m2*g - 
         (1/2)*Sqrt[4*(m1 + m2)^2*(k + g)^2 - 16*k*m1*m2*(k + 2*g)])/
        (m1*m2)]/(1 + (k*m1 - k*m2 + m1*g - m2*g + 
          (1/2)*Sqrt[4*(m1 + m2)^2*(k + g)^2 - 16*k*m1*m2*(k + 2*g)])^2/
        (4*m1*m2*g^2)) + Sqrt[(k*m1 + k*m2 + m1*g + m2*g + 
         (1/2)*Sqrt[4*(m1 + m2)^2*(k + g)^2 - 16*k*m1*m2*(k + 2*g)])/
        (m1*m2)]/(1 + ((-k)*m1 + k*m2 - m1*g + m2*g + 
          (1/2)*Sqrt[4*(m1 + m2)^2*(k + g)^2 - 16*k*m1*m2*(k + 2*g)])^2/
        (4*m1*m2*g^2));

Limit[t, g -> 0]
Limit[Together[t], g -> 0]

both give zero, whereas

Limit[Simplify[Together[t]], g -> 0]

gives a non-zero result? This is with Mathe4matica 5.2.


Dr A.H. Harker
Department of Physics and Astronomy
University College London
Gower Street
London
WC1E 6BT



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