Chapter 9.4, Problem 1QQ

To determine

To find: the function which grows faster than $x^2\text{ as }x\to \infty$ .

Answer to Problem 1QQ

The function is $0.1x^2$ which grows faster than $x^2\text{ as }x\to \infty$ .

Explanation of Solution

Given information:

The functions are $(\text{A)}{e}^{-x}\text{ (B)}\ln (x)\text{ (c)}7x+10\text{ (D)}2x^2-3x\text{ (E)}0.1x^3$ .

Calculation: to function which grows faster than $x^2\text{ as }x\to \infty$ , first graph the functions,

  

From the graph it can be observed that the function $0.1x^2$ which grows faster than $x^2\text{ as }x\to \infty$ .