Question: Is this answer correct? For each pair of functions determine if f(n) (g(n)) or f(n) (g(n)) or f(n) O(g(n)) and provide a proof as specified.

Is this answer correct?

For each pair of functions determine if f(n) (g(n)) or f(n) (g(n)) or f(n) O(g(n)) and provide a proof as specified.

f(n)=log(n!),g(n)=nlog(n)

This is my answer

f(n) = O(g(n))

Let log(n!) - log(n^n)

log(n!/n^n)

log(n!) - log(n^n)< 0

log(n!) 0

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