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Re: Limit glitch

• To: mathgroup at smc.vnet.net
• Subject: [mg14330] Re: Limit glitch
• From: Selwyn Hollis <shollis at peachnet.campus.mci.net>
• Date: Tue, 13 Oct 1998 01:21:43 -0400
• Organization: fair
• References: <6ufdmo$cpc$3@dragonfly.wolfram.com>
• Sender: owner-wri-mathgroup at wolfram.com

Then, to be consistent with 99.999%  of the calculus texts written in
the 20th century,
Wolfram might want to rename Limit.

David Withoff wrote:

> > 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?
> >
> > --
>
>
> 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

--
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 
Dr. Selwyn Hollis
Associate Professor of Mathematics
Armstrong Atlantic State University
Savannah, GA 31419 USA
<http://www.math.armstrong.edu/faculty/hollis/>
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~