Question: 3 . ( a ) Let f ( n ) be a function of positive integer n . f ( n + 1 ) f

3.(a) Let f(n) be a function of positive integer n. f(n +1) f(n), f(1)=1 and f(n)1+f(n/2).x is the ceiling function. Prove f(n)= O(log n).(Hint: It is easy when n is a power of 2. What if n is not a power of 2?)

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