If two functions fin) and gin) grow at the same rate asymptotically. what else can we say about their relationship? Oa fin) = Olgn)) bn) - elgn)) Oc din) - oUn)) Od n) = Oe All of the above olgin))

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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If two functions fin) and gin) grow at the same rate asymptotically, what else can we say about their relationship?
Oa fin) = Olgn))
b. fin) - Ogn))
Oc gin) - Ofn))
Od fin) - olgln))
Oe. All of the above
Transcribed Image Text:If two functions fin) and gin) grow at the same rate asymptotically, what else can we say about their relationship? Oa fin) = Olgn)) b. fin) - Ogn)) Oc gin) - Ofn)) Od fin) - olgln)) Oe. All of the above
f(n) =
O a there are constants C, no>0 such that f(no) s cglno
Olgin)) if and only if
%3!
Ob.
there are constants c, no such that, for all 2n
fin)
cgin)
Oc there are constants c. no 2O such that, for alln z no fin) s cg/n).
d. there are constants c, no>0 such that, for all n 2 ng f(n) s cgln)
Transcribed Image Text:f(n) = O a there are constants C, no>0 such that f(no) s cglno Olgin)) if and only if %3! Ob. there are constants c, no such that, for all 2n fin) cgin) Oc there are constants c. no 2O such that, for alln z no fin) s cg/n). d. there are constants c, no>0 such that, for all n 2 ng f(n) s cgln)
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