Question

If the limit is like x -> 7 approaches at the vertical asymptote of x = 7, does it exist?

Answer 1

as x gets closer to 7, y gets bigger... y never approaches a single number... it just zooms past any number you think of, as x gets closer and closer to 7
people might write
\[ \lim_{x \rightarrow 7} y = \infty\]
which means y has no limit. Because infinity is not a number (rather, it is an idea)
y has not limit, and the limit does not exist.

Answer 2

Oh, So I would put DNE. I looked it up on wolfram and it gave the limit as infinity. Your explanation helps.