CPM Homework Help : PCT Problem 8-93

Find the following limits.

$\lim \limits _ { x \rightarrow \infty } \frac { 5 x ^ { 2 } + 2 x - 3 } { x ^ { 3 } + 1 }$
Hint (a):
Use the dominant term idea to evaluate the limit.

$\lim \limits _ { x \rightarrow 0 } \frac { 2 x ^ { 3 } - 7 } { 3 x ^ { 3 } + 4 x - 5 }$
Hint (b):
Substitute $0$ for $x$ .