Question: Question 3 [12 marks]: State with proper reasoning whether the following statements are TRUE or FALSE. 1. Suppose f(n)=n(1sinn) (defined over non-negative reals). Then f(n)/O(n).

Question 3 [12 marks]: State with proper reasoning whether the following

Question 3 [12 marks]: State with proper reasoning whether the following statements are TRUE or FALSE. 1. Suppose f(n)=n(1sinn) (defined over non-negative reals). Then f(n)/O(n). 2. Suppose f(n)=n(1sinn) (defined over non-negative reals). Then f(n)/(n). 3. Let T(n)=7T(n/7)+f(n) (with the base case being T(1)=(1) ). If f(n)O(nlogn), then T(n)(nlogn)

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