Question: For each statement below explain if it is true or false and prove your answer. Be as precise as you can. The base of log

For each statement below explain if it is true or false and prove your answer. Be as
precise as you can. The base of log is 2 unless stated otherwise.
1.n =\Theta (2 log n2)
2.3n log n + n = O(n2n 2)
3. Let f and g be positive functions. If f(n)+ g(n)=(f(n)) then g(n)=
O((f(n))2).

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