Factor the denominator and rewrite the numerator as a piecewise. Notice that the pieces might or might not meet at x = 3.
What does the graph look like as x→ − ∞?
Before taking the limit, either factor the numerator multiply the top and bottom by the conjugate of the bottom.
Limit → ∞. Compare the highest powers of the top and the bottom. What does this graph look like at the end?
Before taking the limit, factor.