5. Consider the following functions, f(n) and g(n): f(n) 1₁ -logn n 2k logn g(n) 1 n n k

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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5. Consider the following functions, f(n) and g(n):
f(n)
-logn
n
klogn
2k1
2√logn
2n¹ +3n² +7
g(n)
n
k
n
(log n)¹00⁰
n³
For each of the above four function-pairs, which asymptotic bounds will hold good among
(i) O(g(n))
(ii) №g(n))
(iii) (g(n))
Transcribed Image Text:5. Consider the following functions, f(n) and g(n): f(n) -logn n klogn 2k1 2√logn 2n¹ +3n² +7 g(n) n k n (log n)¹00⁰ n³ For each of the above four function-pairs, which asymptotic bounds will hold good among (i) O(g(n)) (ii) №g(n)) (iii) (g(n))
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