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How to determine whether the following statements about big-O notation are true or false? (a) Let f(n)...

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Advance Math

How to determine whether the following statements about big-Onotation are true or false?

(a) Let f(n) = ? n log n ? 4, then f(n) = O(n^ 2)

(b) Let f(n) = 4 n + 2 log^ 2 (n), then f(n) = O(log^ 2 (n))

(c) Let f(n) = 5 ? n + 2, then f(n) = ?(log^ 4 (n))

(d) Let f(n) = 5 n^ 2 + 5 n log n + 4, then f(n) = O(n^3 )

(e) Let f(n) = 2 log^2 (n) + 5? n + 7, then f(n) = ?(? n)

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