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