### Home > PC > Chapter 8 > Lesson 8.1.2 > Problem8-30

8-30.

Recall that $\lim \limits _{x\rightarrow\infty}a^x=∞$ when $a>1$. Evaluate each of the following limits.

1. $\lim \limits _ { x \rightarrow \infty } a ( x ) ,$ where $a ( x ) = 3 ^ { x }$

Sketch a graph.

1. $\lim \limits _ { x \rightarrow \infty } b ( x ) ,$ where $b ( x ) = 3 ^ { x } - 6 ( 2 ^ { x } )$

What is the dominant term?

1. $\lim \limits _ { x \rightarrow \infty } c ( x ) ,$ where $c ( x ) = - 5 ^ { x }$

Sketch a graph.

1. $\lim \limits _ { x \rightarrow \infty } d ( x ) ,$ where $d(x)=$$-5^x+10(4^x)$

What is the dominant term?