For each of the following pairs of functions f,g: NR, state with a brief justification whether f(x) is in O(g(x)) or not. (a) f(x) = 2+¹, g(x) = 1 (b) f(x)=x², g(x)=x log x (c) f(x) = 2ª, g(x) = 32-1 DE

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.2: Equilibrium Points
Problem 17E
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For each of the following pairs of functions f, g: N+ → R, state with a brief justification whether
f(x) is in O(g(x)) or not.
(a) f(x) = ¹, g(x) = 1
(b) f(x) = r², g(x) = x logr
(c) f(x) = 2², g(x) = 32-1
(d) f(x) = x², g(x) = 22⁰
Transcribed Image Text:For each of the following pairs of functions f, g: N+ → R, state with a brief justification whether f(x) is in O(g(x)) or not. (a) f(x) = ¹, g(x) = 1 (b) f(x) = r², g(x) = x logr (c) f(x) = 2², g(x) = 32-1 (d) f(x) = x², g(x) = 22⁰
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