No worries; if you did, I got over it.
1/x goes to 0 as x tends toward infinity.
y/0 is undefined for all y.
(Except sometimes using
L'Hopital's rule)
It's ambiguous use of language to say that anything can
equal infinity. Infinity is not, strictly speaking, a number. It is a concept of unendingness. There are some uses of infinity as a number, e.g. in infinite sums, and some other cases, but those are usually additionally defined or constrained infinities which a textbook glazes over in one passing phrase. Usually, that phrase involves the word convergence.