CPM Homework Help : PC3 Problem 13-131

Evaluate the following limits.

$\lim \limits _ { x \rightarrow 2 } \frac { 2 x ^ { 3 } - 8 x } { x ^ { 2 } + x - 6 }$
Hint (a):
Try substituting in $x = 2$ . What happens?
More Help (a):
Completely factor both the numerator and denominator. Simplify. Substitute in $x = 2$ .

$\lim \limits _ { x \rightarrow - \infty } \frac { 2 x ^ { 3 } - 8 x } { x ^ { 2 } + x - 6 }$
Hint (b):
Since this is a limit at infinity, use the dominant terms.