Hey,
How do you prove that log (n!) is big theta of n log n? I tried using the definition method and the shortcut rules but I keep getting stuck.

I already provided an answer in the thread you made in the Java forum. But logically n! < n^n and log(n^n) = n log n.

I have this on my lecture notes but I don't get it:

If g ∈ O(f (n)) then for some N, c we have that for i ≥ N , g(i) ≤ c.f (n). So for any m we have m.g(i) ≤ m.c.f (i) and hence m.g(n) ∈ O(f (n)).

(My bad, please delete it) :)

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