Question

Question #0f0e4

Answer 1

Take side limits you get

`lim_(x->3^+) (x^3-8) / (x^2+x-12)=+oo`

and

`lim_(x->3^-) (x^3-8) / (x^2+x-12)=-oo`

Hence side-limits are different the limit does not exist.

The graph of f(x) near x=3 is