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Figure out the comparisons of the sizes of these functions as n gets big: f1(n) ∼ 0.9n log(n), f2...

Figure out the comparisons of the sizes of these functions as n gets big: f1(n) ∼ 0.9n log(n), f2(n) ∼ 1.1n , f3(n) ∼ 10n, f4(n) ∼ n2 ? Your answer should allow you to put them in order, from smallest to biggest

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Answer #1

1.1n<10n<0.9n log(n)<n^2

1.1n and 10n are of the same order O(n) but 10n has a larger constant multiplying it

0.9n log(n) is of O(n log(n))>O(n)

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