[5] For each of the following functions f find a simple function g such that f(n) = (g(n)). (a) fi(n)= (1000) 2n + 4. (b) f₂(n)=n+nlogn + √√n. 10 (c) f(n) = log(n²0) + (log n) ¹⁰. 100 (d) f4(n) = (0.99)” +n¹

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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[5] For each of the following functions f find a simple function g such that f(n) =
=
(g(n)).
(a) fı(n) = (1000)2” +4″.
(b) f₂(n)=n+nlogn + √n.
(c) f3(n) = log(n²⁰) + (log n)¹⁰.
(d) f4(n) = (0.99)” +n¹⁰⁰
Transcribed Image Text:[5] For each of the following functions f find a simple function g such that f(n) = = (g(n)). (a) fı(n) = (1000)2” +4″. (b) f₂(n)=n+nlogn + √n. (c) f3(n) = log(n²⁰) + (log n)¹⁰. (d) f4(n) = (0.99)” +n¹⁰⁰
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We need to write Θ(g(n)) for given functions.

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