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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