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Arrange the following functions in a list so that each function is big-O of the next...

Arrange the following functions in a list so that each function is big-O of the next function. The function in the end of the list is given.

f1(n)=n0.5, f2(n)=1000log(n), f3(n)=nlog(n), f4(n)=2n!, f5(n)=2n, f6(n)=3n, and f7(n)=n2.

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Answer #1

f = O(g(n))

iff f <= c*g asymptotically

f2 < f1 < f3 < f7 < f5 < f6 < f4

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