Solved: Comparisons with the Power x 2Which of the

Chapter 7, Problem 4E

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QUESTION:

Problem 4E

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?

a.2 +

b. 102

c.2

d. log10 (2)

e.3 - 2

f.(1/10)

g.(1.1)

h.2 + 100 

Questions & Answers

QUESTION:

Problem 4E

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?

a.2 +

b. 102

c.2

d. log10 (2)

e.3 - 2

f.(1/10)

g.(1.1)

h.2 + 100 

ANSWER:

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?

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