Use limits to prove the following asymptotic statements. 1. V4n² + 1 = O(n). 2. n" = Q(n!). 3. Vn + 4 – Vn = O(1). 4. n log (n²) + (n – 1)² log(5) = ©(r² log n). G) = (n² log n). %3D

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Use limits to prove the following asymptotic statements.
1. V4n2 + 1 = O(n).
2. n" = Q(n!).
3. Vn +4 - Vn = O(1).
4. n log (n²) + (11 – 1)² log(5) = © (n² log n).
Transcribed Image Text:Use limits to prove the following asymptotic statements. 1. V4n2 + 1 = O(n). 2. n" = Q(n!). 3. Vn +4 - Vn = O(1). 4. n log (n²) + (11 – 1)² log(5) = © (n² log n).
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