Given the functions |log n if n even n' otherwise. f,(n) = f2(n) = min {5000 log n² ,m } > 20000 log n f3(n): {50 log log n, = max { m 50 log n f,(n) = 3000 n which of the following claims are correct ? Prove formally your answers. a) fq is O(f2) b) fq is Q(f2) c) fg is e(f4)

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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Exercise 2
Given the functions
|log n
if n even
otherwise.
f1(n) = | n³
f (n) =
f2(n) = min {5000 log n² , }
> 20000
log n
f3(n) = max
{50 log log n,
}
n
50 log n
= (u)*f
which of the following claims are correct ? Prove formally your answers.
3000 n
a) fq is O(f2)
b) fq is Q(f2)
c) f3 is Ə(f4)
d) fq is Q(f4)
Transcribed Image Text:Exercise 2 Given the functions |log n if n even otherwise. f1(n) = | n³ f (n) = f2(n) = min {5000 log n² , } > 20000 log n f3(n) = max {50 log log n, } n 50 log n = (u)*f which of the following claims are correct ? Prove formally your answers. 3000 n a) fq is O(f2) b) fq is Q(f2) c) f3 is Ə(f4) d) fq is Q(f4)
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