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c) Prove that 2n is O(n!) d) log(n!) is O(nlogn): Prove or disprove e) Show that if d(n) is O(f(n)) and e(n) is O(g(n)), then

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c) Prove that 2n is O(n!) d) log(n!) is O(nlogn): Prove or disprove e) Show that if d(n) is O(f(n)) and e(n) is O(g(n)), then d(n)e(n) is not necessarily O(f(n)g(n))

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