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Re: Limit of Floor function

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  • Subject: [mg73886] Re: [mg73830] Limit of Floor function
  • From: Andrzej Kozlowski <akoz at>
  • Date: Fri, 2 Mar 2007 06:45:02 -0500 (EST)
  • References: <>

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





Both of these are correct answers.

Andrzej Kozlowski

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