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Q. What is the result of the recurrences which fall under the extended second case of Master’s theorem (let the recurrence be given by T(n)=aT(n/b)+f(n) and f(n)=nc(log n)k?

  • (A) none of the below
  • (B) t(n) = o(nc log n)
  • (C) t(n)= o(nc (log n)k+1
  • (D) t(n) = o(n2)
Explanation by: Admin
in the extended second case of master’s theorem the necessary condition is that c = logba. if this condition is true then t(n)= o(nc(log n))k+1.

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