Algorithms | Analysis of Algorithms | Question 15

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Consider the following functions

  • f(n) = 3n^{\sqrt{n}}
  • g(n) = 2^{\sqrt{n}{\log_{2}n}}
  • h(n) = n!

Which of the following is true? (GATE CS 2000)
(A) h(n) is θ(f(n))
(B) h(n) is θ(g(n))
(C) g(n) is not θ(f(n))
(D) f(n) is θ(g(n))

A

B

C

D

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