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Prove or disprove the following statements, using the relationship among typical growth-rate  functions. a) n! is O(4^n) b) n^22 log n + n^7 is Ω(n^6 log n) c) n^9 + 8000n^7 is Ω(n^16)   PLEASE SOLVE ALL. PLEASEEEEE. I SOLVED THESE, BUT I'M NOT SURE ABOUT MY ANSWER, ESP a) and b)

Prove or disprove the following statements, using the relationship among typical growth-rate  functions. a) n! is O(4^n) b) n^22 log n + n^7 is Ω(n^6 log n) c) n^9 + 8000n^7 is Ω(n^16)   PLEASE SOLVE ALL. PLEASEEEEE. I SOLVED THESE, BUT I'M NOT SURE ABOUT MY ANSWER, ESP a) and b)

Database System Concepts
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
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Prove or disprove the following statements, using the relationship among typical growth-rate 
functions.

a) n! is O(4^n)

b) n^22 log n + n^7 is Ω(n^6 log n)

c) n^9 + 8000n^7 is Ω(n^16)

 

PLEASE SOLVE ALL. PLEASEEEEE. I SOLVED THESE, BUT I'M NOT SURE ABOUT MY ANSWER, ESP a) and b)

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