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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.