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(a) Rank the following functions in order (non-decresasing) of their asymptotic growth. Next to each function, write its big-Theta value, (ie. write the correct O(g(n)) next to each function but you are not required to prove the big-Theta value). Vlog n+ (log n)², n log(nº 2"), 10!n!, nº² (log n)², n²", (2"+n)(Vn+2"), ,n(logn)³ n° log n (log n)? +n' V(log n + 1)

(a) Rank the following functions in order (non-decresasing) of their asymptotic growth. Next to each function, write its big-Theta value, (ie. write the correct O(g(n)) next to each function but you are not required to prove the big-Theta value). Vlog n+ (log n)², n log(nº 2"), 10!n!, nº² (log n)², n²", (2"+n)(Vn+2"), ,n(logn)³ n° log n (log n)? +n' V(log n + 1)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Rank the following functions in order (non-decresasing) of their asymptotic growth. Next to each function, write its big-Theta value, (ie. write the correct O(g(n)) next to each function but you are not required to prove the big-Theta value). Vlog n+ (log n)², n log(nº 2"), 10!n!, nº² (log n)², n²", (2"+n)(Vn+2"), ,n(log n)³ n° log n (log n)? + n' V (log n + 1)
Transcribed Image Text:(a) Rank the following functions in order (non-decresasing) of their asymptotic growth. Next to each function, write its big-Theta value, (ie. write the correct O(g(n)) next to each function but you are not required to prove the big-Theta value). Vlog n+ (log n)², n log(nº 2"), 10!n!, nº² (log n)², n²", (2"+n)(Vn+2"), ,n(log n)³ n° log n (log n)? + n' V (log n + 1)
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