3 votes

Did anyone ever introduce an "oscillating unity"?

Do you know the Ultrafunction theory by Benci et al. https://arxiv.org/pdf/1405.4152.pdf If I remember well from the seminars, once you define the $\Lambda$ limit, the sequence $(-1)^n$ has a limit, ...
1 vote

Did anyone ever introduce an "oscillating unity"?

There are, actually, a number of ways one can talk of the limiting behavior of a function for which the limit in the "classical" sense you are referencing does not exist. But pretty much all of them ...

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