Question

How do you find vertical, horizontal and oblique asymptotes for `f(x) = (x+2 )/( 2x^2)`?

Answer 1

`x=0` is the vertical asymptote and `y=0` is the horizontal asymptote, no oblique asymptotes

Explanation:

Domain is `x!=0`

and `lim_(x->0) f(x)=oo`

so `x=0` is the vertical asymptote

Then
`lim_(x->oo) f(x)=0`

so `y=0` is the horizontal asymptote

no oblique asymptotes