### Home > CALC > Chapter 8 > Lesson 8.1.2 > Problem 8-20

8-20.

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.