8. Which of the following statements about the asymptotic behavior of f(n), g(n), and h(n) is true? Consider the following functions: f (n) = 2" g(n) = n! h(n) = nlog n f(n) = 0(g(n)); g(n) = 0(h(n)) f(n) = Q(g(n)); g(n) = 0(h(n)) g(n) = 0(f(n)); h(n) = 0(f(n)) h(n) = 0(f(n)); g(n) = Q(f(n))
8. Which of the following statements about the asymptotic behavior of f(n), g(n), and h(n) is true? Consider the following functions: f (n) = 2" g(n) = n! h(n) = nlog n f(n) = 0(g(n)); g(n) = 0(h(n)) f(n) = Q(g(n)); g(n) = 0(h(n)) g(n) = 0(f(n)); h(n) = 0(f(n)) h(n) = 0(f(n)); g(n) = Q(f(n))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:8. Which of the following statements about the asymptotic behavior of f(n), g(n), and h(n) is true?
Consider the following functions:
f(n) = 2"
g(n) = n! h(n) = nlog n
f(n) = 0(g(n)); g(n) = 0(h(n)
f (n) = 2(g(n)); g(n) = 0(h(n))
g(n) = O(f (n)); h(n) = 0(f(n))
h(n) = 0(f(n)); g (n) = 2(f(n))
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