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)
πŸ’¬ Discuss
βœ… Correct 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)).

Explanation by: Mr. Dubey
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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