Stavros Macrakis wrote:
> If f(t) has a well-defined, unique limit as t approaches x, then the
> limit set of f(t) in the neighborhood of x is exactly that point.
>
> If it does not have a single limit point, then the limit set is an
> excellent characterization of its behavior in that neighborhood.
>
> Calculating s-[-1,1] as an interval calculation here isn't meaningful.
>
I agree. which is why I think that representing the limit set as an
interval is hazardous, because
once you have an interval, it has different semantics associated with
it. If you return
another object which is a "limit set" you might be safer. I'm not
sure where this will really bite you. That depends on how much you
actually do with intervals
that come out of limit calculations. Most people do nothing with this
information beyond
printing it out, which is probably not going to run into problems.