Notice I never said the value IS infinity. I said it “goes to infinity” which is the mathematically correct way to describe what’s going on when considering the limit, at least on the positive side. Of course, because on the negative side of zero, the function goes to negative infinity, it makes the most sense to describe it as undefined, still. 😉

https://upload.wikimedia.org/wikipedia/commons/thumb/4/43/Hyperbola_one_over_x.svg/800px-Hyperbola_one_over_x.svg.png