### Home > PC3 > Chapter 13 > Lesson 13.1.1 > Problem13-7

13-7.

Evaluate each of the following limits.

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

1. $\lim \limits _ { x \rightarrow \infty }b(x)$, where $b\left(x\right) = x^{6} − 12x^{5} + 7x^{3} − 400$

When $x$ is extremely large, what is the only term that matters for this limit?

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

$−∞$

1. $\lim \limits _ { x \rightarrow \infty }d(x)$, where $d\left(x\right) = −3x^{7} + 1000x + 48,000$

When $x$ is extremely large, what is the only term that matters for this limit?