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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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