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/> ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~