I have a quick question, the oblique asymptote of this rational equation is as follows:

f(x)=(x^2-2x-5)/(x-1)

oblique asymptote: y=x-1

But my question is, would you write the answer as

y=x-1

or would you write it like you are answering for a horizontal asymptote ie.

as x -> +-infinity, y -> 1

and one more question, is it true that a function CAN cross the horizontal asymptote but cannot cross the vertical one?

thanks