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

```

• Prev by Date: Re: Product and Summation sign
• Next by Date: Re: Defining N for a new entity
• Previous by thread: Pen Lift for FlybackTrace erasure
• Next by thread: Mathematica Font problems