CPM Homework Help : PC3 Problem 13-47

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13-47.

Evaluate each of the following limits.

$\lim \limits _ { x \rightarrow \infty } \frac { 5 x ^ { 3 } + 6 x ^ { 2 } - 3 } { 3 x ^ { 5 } + 1 }$
Hint (a):
Use the dominant terms to evaluate this limit.

$\lim \limits _ { x \rightarrow - \infty } \frac { 2 ( 3 ) ^ { x } - 7 x } { 3 ( 3 ) ^ { x } + 4 x - 1 }$
Hint (b):
Use the dominant terms to evaluate this limit.

$\lim \limits _ { x \rightarrow 1 / 3 } \frac { 3 x ^ { 3 } - x ^ { 2 } - 3 x + 1 } { 3 x - 1 }$
Hint (c):
This limit is at a point for which the expression is undefined. Use polynomial division or factoring to rewrite the numerator.

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