Re: Limit of Floor function

*To*: mathgroup at smc.vnet.net*Subject*: [mg73877] Re: Limit of Floor function*From*: Eric Smith <eric at brouhaha.com>*Date*: Fri, 2 Mar 2007 06:40:09 -0500 (EST)*Organization*: Eric Conspiracy Secret Labs*References*: <es6dgu$s4l$1@smc.vnet.net>

I wrote: > Mathematica 5.2 evaluates one-sided limits of the Floor function > correctly. But if I just ask: > Limit[Floor[x],x->10] > It replies "10". Shouldn't it tell me the limit is undefined, > since the Floor function has a step discontinuity at every integer > value? Several people have explained to me in email that Mathematica doesn't evaluate two-sided limits, and that you have to do it yourself. Apparently if you don't specify a direction, it assumes Direction->1. I think the documentation on the Limit function should be made more clear about this, since it differs from the conventional mathematical definition of a limit. Eric

**Follow-Ups**:**Re: Re: Limit of Floor function***From:*Daniel Lichtblau <danl@wolfram.com>