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

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

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.

This is just not true. The normal limit we have here means a limit would have to exist from both directions and they should be equal.

One-sided limits would be denoted by x -> 5– and x -> 5+ or similar.

PS: in complex analysis, there is no distinction between +infty and -infty, so there it would be correct to say the function has limit infty at 5.