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.