[Solved] What is the result of the recurrences which fall under third case of Master’s theorem (let the recurrence be given by T(n)=aT(n/b)+f(n) and f(n)=nc?

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Q.	What is the result of the recurrences which fall under third case of Master’s theorem (let the recurrence be given by T(n)=aT(n/b)+f(n) and f(n)=nc?
A.	none of the below
B.	t(n) = o(nc log n)
C.	t(n) = o(f(n))
D.	t(n) = o(n2)
Answer» C. t(n) = o(f(n))
Explanation: in third case of master’s theorem the necessary condition is that c > logba. if this condition is true then t(n) = o(f(n)).

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