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.

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