Question: Please show work and your thoughts behind this. Thank you. 1. Prove that log(n!) = O(n log n) and log(n!) = Omega(n log n). Put

Please show work and your thoughts behind this. Thank you. 1.

Please show work and your thoughts behind this. Thank you.

1. Prove that log(n!) = O(n log n) and log(n!) = Omega(n log n). Put another way, prove that log(n!) = Theta(n log n)

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