Which of the following is the Big-Oh of this function: T(n) = T(n / 2^k) + 5 * k? A) O(log n) B) O(n) C) O(n²) D) O(n log n)

Name: Which of the following is the Big-Oh of this function: T(n) = T(n / 2 k ) + 5 * k? A) O(log n) B) O(n) C) O(n 2 ) D) O(n log n)
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Question

Quizplus · Accepted Answer

The function T(n) is a recursive function that calls itself with a smaller input size n / 2^k. The 5 * k term is a linear function of k, which is a logarithmic function of n. Therefore, the Big-Oh of T(n) is O(log n).

Which of the Following Is the Big-Oh of This Function