--- Raymond Toy <toy@rtp.ericsson.se> wrote:
> Heh! That was exactly the function I used when trying out some of
> the adaptive plotting changes. In any case, I don't think we can
ever
> be smart enough to plot this carefully because we can't if the
> interval truly contains 0.
>
> And plotting implicitly starts from a fixed number of samples, so we
> could potentially miss poles if the pole is narrow enough and the
> sampling coarse enough. Don't think we could ever be smart enough to
> find a pole like that.
I don't know much about that (does any CAS have pole finding routines?)
but that problem reminds me of a silly question I've been wanting to
ask:
in the case of something like:
(x + 2) (x + 1)
---------------
x + 1
Maxima will simplify this to x+2. But, as written, doesn't this
expression have a hole at x=-1? It will do the x+2 thing everywhere
else - is it OK to simplify because it's a case of zero over zero? I
thought that didn't evaluate to one mathematically.
I'm assuming I'm just a dork, but can someone set me straight?
CY
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