It’s been a while… but isn’t that negative?

Or is there some default given of which side it’s approaching from.

I think it is not defined. It has a limes from the left (- inf) and limes from the right (+ inf) but no two-sided limes.

It has a limes from the left… and limes from the right…

Is that the Tootsie Roll Theorem?

You put the lime on the coconut and drink it all up.
You put the lime in the coconut. You’re such a good silly woman.
No kink shaming!
Yeah, it would have to be defined as a one-sided limit.
One-sided limit - Wikipedia