You’re right. But in this case, which is the case I was referring to, there is no two sided limit. It is discontinuous. It is in this case which I was referring to. Sorry for not being clear.

Ah, I misread the - as a +. You’re correct! Sorry, I just woke up and am in the middle of my morning doomscrolling sesh

I have a BA in Mathematics. The limit is indeed determined by the direction you approach the limiting value.

When given without specification, the limit is implied to come from the left, meaning it increases towards the limiting value, which is why you see +inf.