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MathGroup Archive 2004

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Re: how to explain this weird effect? Integrate

  • To: mathgroup at smc.vnet.net
  • Subject: [mg46541] Re: how to explain this weird effect? Integrate
  • From: nma124 at hotmail.com (steve_H)
  • Date: Sun, 22 Feb 2004 11:27:50 -0500 (EST)
  • References: <20040218182324.673$gV@newsreader.com> <c11se0$nkq$1@smc.vnet.net> <c14738$4bt$1@smc.vnet.net> <c16mc3$5q1$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

"David W. Cantrell" <DWCantrell at sigmaxi.org> wrote in message news:<c16mc3$5q1$1 at smc.vnet.net>...
> drbob at bigfoot.com (Bobby R. Treat) wrote:
> > I agree with Andrzej;
> 
 
> 
> Example: We want Floor[Cos[x]]/.x->0 to give us 1, just as it does in
> Mathematica, rather than 0. If instead we actually wanted
> Limit[Floor[Cos[x]], x -> 0], we should have to ask for it _per se_.
>

hey, this is a nice and simple example to show the difference between 
the limit of a function as it approaches a point and the value of the 
function at a point.
 
> {Aside:
> Hmm. Here's a bizarre coincidence. That example was just now made up by me,
> off the top of my head. But I now see that Mathematica 5.0 gets the limit
> wrong!
> 
> In[1]:= Limit[Floor[Cos[x]], x -> 0]
> 
> Out[1]= 1
> 
> It should be 0, of course. Yet another bug.


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