CPM Homework Help : PC Problem 8-7

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8-7.

Evaluate each of the following limits.

$\lim \limits _ { x \rightarrow \infty }a(x)$ , where $a\left(x\right) = x^{6}$

$\lim \limits _ { x \rightarrow \infty }b(x)$ , where $b\left(x\right) = x^{6} − 12x^{5} + 7x^{3} − 400$
Hint (b):
When $x$ is extremely large, what is the only term that matters for this limit?

$\lim \limits _ { x \rightarrow \infty }c(x)$ , where $c\left(x\right) = −3x^{7}$
Answer (c):
$−∞$

$\lim \limits _ { x \rightarrow \infty }d(x)$ , where $d\left(x\right) = −3x^{7} + 1000x + 48,000$
Hint (d):
When $x$ is extremely large, what is the only term that matters for this limit?

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