Re: Beginner question: operating on piecewise defined functions
- To: mathgroup at smc.vnet.net
- Subject: [mg41620] Re: Beginner question: operating on piecewise defined functions
- From: bobhanlon at aol.com (Bob Hanlon)
- Date: Thu, 29 May 2003 08:13:45 -0400 (EDT)
- References: <bb1v7e$9hc$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
f[x_] := 1+UnitStep[x-1]*(1/x^2-1);
Limit[FullSimplify[f[x], x>1], x->Infinity]
0
FullSimplify[Limit[f[x], x->Infinity],x>1]
0
f[Infinity]
0
Bob Hanlon
In article <bb1v7e$9hc$1 at smc.vnet.net>, Jan Rychter <jan at rychter.com> wrote:
<< Subject: Beginner question: operating on piecewise defined functions
From: Jan Rychter <jan at rychter.com>
To: mathgroup at smc.vnet.net
Date: Wed, 28 May 2003 09:23:58 +0000 (UTC)
If I define a piecewise function as, say:
f[x_] := 1/x^2 /; x >= 1
f[x_] := 1 /; x < 1
then how can I get Mathematica to operate on it, as in:
Limit[f[x], {x->Infinity}]
Just trying that returns the expression unevaluated, even though
defining:
g[x_] := 1/x^2
and trying:
Limit[g[x], {x -> Infinity}]
Yields, as expected:
Out[7]=
{0}
>><BR><BR>