Problem 3E

Comparisons with the Power x 2

Which of the following functions grow faster than x2 as x →∞ ? Which grow at the same rate as x2 ? Which grow slower?

2 + 4

5 - 2

3

( + 3)2

ln

2

3

82

Solution:-

Step 1 of 9

Given that

We have to find which of the following functions grow faster than as x →∞ ? and we have to find which grow at the same rate as ? Which grow slower?