Question

How do you find the asymptotes for `2/(x-3)`?

Answer 1

Vertical asymptote: `x=3`
Horizontal asymptote: y=0#

Explanation:

`2/(x-3)` is defined for all values of `x` except `x=3`
therefore `x=3` is an asymptote.

As `xrarr+-oo`
`color(white)("XXX")yrarr0`
therefore `y=0` is a horizontal asymptote.