Let f and g be functions of natural numbers given by \(f(n)\) = n and \(g(n)\)…

PYQ GATE 2023

Let f and g be functions of natural numbers given by f(n)f(n) = n and g(n)g(n) = n2. Which of the following statements is/are TRUE?

  1. A.

    f∈O(g)f ∈ O(g)

  2. B.

    f∈Ω(g)f ∈ Ω(g)

  3. C.

    f∈o(g)f ∈ o(g)

  4. D.

    f∈Θ(g)f ∈ Θ(g)

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