Re: Limit of Floor function
- To: mathgroup at smc.vnet.net
- Subject: [mg73886] Re: [mg73830] Limit of Floor function
- From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
- Date: Fri, 2 Mar 2007 06:45:02 -0500 (EST)
- References: <200703011121.GAA28373@smc.vnet.net>
On 1 Mar 2007, at 12:21, Eric Smith 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? > > Thanks, > Eric > Mathematica's Limit computes directional limits only (Limit[f[x]-,x- >a] is the same as Limit[f[x],x->a, Direction -> -1]). Using explicit values for the Direction option we get Limit[Floor[x],x->10,Direction->-1] 10 Limit[Floor[x],x->10,Direction->1] 9 Both of these are correct answers. Andrzej Kozlowski
- References:
- Limit of Floor function
- From: Eric Smith <eric@brouhaha.com>
- Limit of Floor function