Question

How do you find a horizontal asymptote `(x^2 - 5x + 6)/(x - 3`?

Answer 1

We can first rewrite the function as

`((x-2)(x-3))/((x-3))` and cancel the `(x-3)`'s

And this will turn the function into `x-2` which has no asymptotes at all.

One thing though:
`x=3` is not allowed , as this would make the numerator `=0`
(Actually it would turn the fraction into `0/0`, which is not defined at all).