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Algorithms | Analysis of Algorithms | Question 15

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 0(f(n))
(B) h(n) is 0(g(n))
(C) g(n) is not 0(f(n))
(D) f(n) is 0(g(n))

A

B

C

D

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Last Updated : Jan 13, 2025
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