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MathGroup Archive 1998

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Re: Limit glitch

  • To: mathgroup at smc.vnet.net
  • Subject: [mg14098] Re: [mg14073] Limit glitch
  • From: David Withoff <withoff>
  • Date: Fri, 25 Sep 1998 03:15:23 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

> I'm wondering whether this has been covered here before. I just noticed
> that Limit often gives wrong results at jump discontinuities. For
> example,  Limit[x/Abs[x], x->0]  returns 1. The pattern seems to be
> that the right-sided limit is always given.
>
> Does anyone know anything about this?
>
> --
> ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
> Dr. Selwyn Hollis
> Associate Professor of Mathematics
> Armstrong Atlantic State University
> Savannah, GA 31419 USA
> <http://www.math.armstrong.edu/faculty/hollis/>
> ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The Limit function is designed to compute directional limits.  The
default for finite limits points is to compute the limit from the
right.  The result that you mentioned is correct as a directional
limit.  You can change the direction using the Direction option.

Dave Withoff
Wolfram Research


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