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Consider the function f(n) = log(n!) and g(n) = n log(n^2). Which of the following statements holds? A. f(n) is O(g(n)) and g (n) is

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Consider the function f(n) = log(n!) and g(n) = n log(n^2). Which of the following statements holds? A. f(n) is O(g(n)) and g (n) is O(f(n)) B. f(n) is O(g(n) but g(n) is not O(f (n)) C. f(n) is not O(g(n)) but g (n) is O(f(n)) D. n) is not O(g(n)) and g(n) is not O(f(n)) E. None of the above

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