Question

If f(x) = (x^3 – 1) / (3x + 1) then f(x) is?

(a) O(x^2)

(b) O(x)

(c) O(x^2 / 3)

(d) O(1)

I have been asked this question by my school teacher while I was bunking the class.

My question is from The Growth of Functions topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Correct choice is (a) O(x^2)

To elaborate: 0 < (x^3 – 1) / (3x + 1) < x^2.