Let f(n) = n and g(n) = n(1+sin n), where n is a positive integer. Which of the following statements is/are correct?
I. f(n) = O(g(n)) II. f(n) = Ω(g(n))
(A) Only I
(B) Only II
(C) Both I and II
(D) Neither I nor II
Answer: (D)
Explanation: The value of sine function varies from -1 to 1.
For sin = -1 or any other negative value, I becomes false.
For sin = 1 or any other positive value, II becomes false.
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