Questions: 1. 994385934n5 + 150n4 + 5n3 + 4n² + n +8 2. nlog(n) + log(n) 3. log log(n²) + log(n log n) + log² log(n) + log log² (n) Answers: 3. O(n log n) 4. O(log² log(n))

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Question

Not an exam. Just review for me.

For each function f(n) below give an asymptoic upper bound using big-Oh notation. You should give the tighest bound (ie. smallest bound) possible and simplify the expression.  Explain step by step how you your answers. Use signma notation to prove your answers if you can  

 

I attached the answers for question 3 and 4 for your reference so you can check your work but explain how you got those answers.  I dont have the answer key for 1 so please try your best on that. 

Questions:
1. 994385934n5 + 150n4 + 5n3 + 4n² + n +8
2. nlog(n) + log(n)
3. log log(n²) + log(n log n) + log² log(n) + log log² (n)
Answers:
3. O(n log n)
4. O(log² log(n))
Transcribed Image Text:Questions: 1. 994385934n5 + 150n4 + 5n3 + 4n² + n +8 2. nlog(n) + log(n) 3. log log(n²) + log(n log n) + log² log(n) + log log² (n) Answers: 3. O(n log n) 4. O(log² log(n))
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