CPM Homework Help : PC3 Problem 13-63

Evaluate each of the following limits.

$\lim \limits _ { x \rightarrow \infty } \frac { 3 x ^ { 2 } - 5 x + 2 } { 7 - 5 x ^ { 2 } }$
Hint (a):
Identify the dominant terms.

$\lim \limits _ { x \rightarrow 1 } \frac { 4 x ^ { 2 } - 4 } { x ^ { 3 } - x }$
Hint (b):
Substitute in $x = 1$ . What happens?
More Help (b):
Factor and simplify. Then try substituting in $x = 1$ .