Re: Limit of Floor function

*To*: mathgroup at smc.vnet.net*Subject*: [mg73938] Re: Limit of Floor function*From*: dh <dh at metrohm.ch>*Date*: Sat, 3 Mar 2007 01:11:55 -0500 (EST)*References*: <es6dgu$s4l$1@smc.vnet.net>

Hi Eric, the answer depends on the direction from where you aproach the limit: Limit[Floor[x],x->10,Direction->1] gives 9 Limit[Floor[x],x->10,Direction->-1] gives 10 The manual does not specify what the direction is in Limit[expr,x->x0], but obviously Direction->-1 is used by default. Daniel 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 >