Question 4: Consider two recurrence relations P(n) = 2P(n/2) +n and Q(n) = 4Q(n/4)+2n. What is the relationship between P and Q? Is P = O(Q), P = N(Q), or P = e(Q)? Prove your answer using limit of ratio definition of asymptotic notations.

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Question 4:
Consider two recurrence relations P(n) = 2P(n/2) +n and Q(n) = 4Q (n/4) +2n. What is the
relationship between P and Q? Is P = O(Q), P = N(Q), or P = O(Q)? Prove your answer
using limit of ratio definition of asymptotic notations.
Transcribed Image Text:Question 4: Consider two recurrence relations P(n) = 2P(n/2) +n and Q(n) = 4Q (n/4) +2n. What is the relationship between P and Q? Is P = O(Q), P = N(Q), or P = O(Q)? Prove your answer using limit of ratio definition of asymptotic notations.
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