On Wed, Mar 5, 2014 at 3:03 AM, Sergey B Kirpichev <skirpic...@gmail.com> wrote:
> On Tue, Mar 04, 2014 at 12:20:50PM -0700, Ondřej Čertík wrote:
>> I think the Gruntz algorithm actually might work for these as well ---
>> at the point after doing the expansion
>> in terms of omega, when you are determining the limit x->0, you just
>> need to be able to handle cases where
>> sin/cos are oscillating, but bounded. Depending on the case, the
>> result can either be finite, e.g.
>> x*sin(1/x) when x->0, or oscillating, then the limit doesn't exist.
>
> Gruntz suggests (pp. 86-87) that this problem may be solved with a
> kind of interval calculus for mrv.  But this would be some (unknown
> yet) extension for the Gruntz algorithm.

That's right, it would be some new work.

Ondrej

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