Question: a) Define O(f(n)) and (f(n)). b) True or false? explain: 2^(n+1) = O(2^n) 2^(2n) = O(2^n) c) Show that: log(n!) = (nlog(n))

a) Define O(f(n)) and (f(n)).

b) True or false? explain:

2^(n+1) = O(2^n)

2^(2n) = O(2^n)

c) Show that: log(n!) = (nlog(n))

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