Which is True?

f ( n ) = n ! g ( n ) = 2 n log 2 n h ( n ) = 2 n n \large{\begin{aligned} f(n) & = & n! \\ g(n) & = & { 2 }^{ \sqrt { n } {\log }_{ 2 }n } \\ h(n) & = & 2{ n }^{ \sqrt { n } } \end{aligned}}

Which of the following is true regarding the above functions?

f ( n ) f(n) is O ( g ( n ) ) O(g(n)) h ( n ) h(n) is O ( f ( n ) ) O(f(n)) f ( n ) f(n) is O ( h ( n ) ) O(h(n)) All of these choices h ( n ) h(n) is not O ( g ( n ) ) O(g(n))

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1 solution

I got this right thanks to the wiki big o notation

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