of for each equation fi = 0(Ji+1) in the sequence above. log n 100n 2"

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
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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(log n) = o(n)
n° = o(n*+!)
" = o((c+1)")
(n/2)(m/2) = o(n!)
n! = o(n").
%3D
%3D
(a) Rank the following functions based on their asymptotic value in the increasing order, i.e., list them
as functions f1, S2, Sa, ..., S9 such that fi = 0(f2), S2 = 0(3),..., Js = 0(f9). Remember to write
down your proof for each equation Si = 0(Si+1) in the sequence above.
log n
nlog n
100n
2
n!
log n
Transcribed Image Text:(log n) = o(n) n° = o(n*+!) " = o((c+1)") (n/2)(m/2) = o(n!) n! = o(n"). %3D %3D (a) Rank the following functions based on their asymptotic value in the increasing order, i.e., list them as functions f1, S2, Sa, ..., S9 such that fi = 0(f2), S2 = 0(3),..., Js = 0(f9). Remember to write down your proof for each equation Si = 0(Si+1) in the sequence above. log n nlog n 100n 2 n! log n
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Solution - In the given question, we have to arrange the given nine functions according to their order of growth.

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