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