why can't mma find this limit ??

• To: mathgroup at smc.vnet.net
• Subject: [mg2418] why can't mma find this limit ??
• From: Christian.Jost at epc.u-psud.fr (Christian Jost)
• Date: Sun, 5 Nov 1995 16:05:37 -0500
• Organization: Universite Paris-Sud XI

```I have the simple function

n[t_]=3DK n0/((K-n0) Exp[-r t] + n0) (the solution of logistic growth
dN/dt=3Dr (1-N/K) N )

In the limit t=3D0 this function is n0 and mma can calculate this. The li=
mit
for Inifinity is obviously K, but mathematica returns the limit
unevaluated
In:
Limit[n[t],t->Infinity]
Out:
Limit[(K*n0)/((K - n0)/E^(r*t) + n0),=20
=20
t -> DirectedInfinity[1]]

Any idea why? Is there a package that helps for such problems?

Thanks, Christian.

--=20
Christian Jost, Universit=E9 Paris-Sud XI, Orsay, France
jost at psisun.u-psud.fr

```

• Prev by Date: [Q] Alternate symbols for ListPlot scatter plots...
• Next by Date: coupled second order differential equations
• Previous by thread: Re: [Q] Alternate symbols for ListPlot scatter plots...
• Next by thread: coupled second order differential equations