We looked at limits in the context of the last few weeks of precalculus.
All of the functions we saw had a (single) removable discontinuity or hole. The limits were found for that point and two other points. For the limit to exist, it needs to go to the same place from the right and from the left.
It didn’t exactly make sense to find a limit for points that did not have holes, but that was part of some of the problems.