Question: Show that log n! is greater than (n log n)/4 for n > 4. Let f (x) and g(x) be functions from the set of

Show that log n! is greater than (n log n)/4 for n > 4. Let f (x) and g(x) be functions from the set of real numbers to the set of real numbers. We say that the functions f and g are asymptotic and write f (x) ∼ g(x) if limx→∞ f (x)/g(x) = 1.

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