Question 25 Given the collection of Big Oh and Big Omega assertions below, which of the following Big Theta assertions might be true? Please note that there is no guarantee that any of these Big Theta assertions will be true, but the vast majority of them are definitely false. f(x) is O(r'3) f(x) is N(x*) f (x) is O(r5) f(x) is N(r') f(r) is (r°) f (x) is O(r“) f(x) is (r³) f(r) is N(x") O none of these options are true O f(x) is O(x5) O f(x) is O(x4) f(x) is O(x")
Question 25 Given the collection of Big Oh and Big Omega assertions below, which of the following Big Theta assertions might be true? Please note that there is no guarantee that any of these Big Theta assertions will be true, but the vast majority of them are definitely false. f(x) is O(r'3) f(x) is N(x*) f (x) is O(r5) f(x) is N(r') f(r) is (r°) f (x) is O(r“) f(x) is (r³) f(r) is N(x") O none of these options are true O f(x) is O(x5) O f(x) is O(x4) f(x) is O(x")
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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Transcribed Image Text:Question 25
Given the collection of Big Oh and Big Omega assertions below, which of the
following Big Theta assertions might be true? Please note that there is no guarantee
any of these Big Theta assertions will be true, but the vast majority of them are
definitely false.
that
f(x) is O(r³) f(r) is 2(r°) f(1) is O(r4) f(x) is 2(r³)
f(r) is N(x*) f (x) is O(r5) f(x) is N(x') f(x) is 2(x")
O none of these options are true
O f(2) is O(x15)
O f(x) is O(x4)
O f(2) is O(x)
Transcribed Image Text:O none of these options are true
O f(x) is O(x")
O f(x) is O(x")
O f(x) is 2(x")
f(x) is 2(æª)
O f(x) is N(x")
O f(x) is O(r'")
O more than one of these options is true
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