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Beginner question: operating on piecewise defined functions

• To: mathgroup at smc.vnet.net
• Subject: [mg41609] Beginner question: operating on piecewise defined functions
• From: Jan Rychter <jan at rychter.com>
• Date: Wed, 28 May 2003 04:57:38 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

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}

thanks,
--J.

• Follow-Ups:
  • Re: Beginner question: operating on piecewise defined functions
    • From: "German Buitrago A." <gerbual@col2.telecom.com.co>