Problem 1: (i) Rank the following functions by asymptotic growth rate in non-decreasing order: (2), fs(n) = n√n. fi(n) = 221000000, f2(n) = 21000000n, f3(n) = Justify your answer! Example: The function f(n) = n grows asymptotically slower then the function g(n) = n²; that is, f(n) = O(g(n)), but g(n) & O(f(n)). (ii) Using big O-notation show that n¹+0,001 & O(n).
Problem 1: (i) Rank the following functions by asymptotic growth rate in non-decreasing order: (2), fs(n) = n√n. fi(n) = 221000000, f2(n) = 21000000n, f3(n) = Justify your answer! Example: The function f(n) = n grows asymptotically slower then the function g(n) = n²; that is, f(n) = O(g(n)), but g(n) & O(f(n)). (ii) Using big O-notation show that n¹+0,001 & O(n).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(i) Rank the following functions by asymptotic growth rate in non-decreasing order:
(2). f4(n) = n√n.
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= 21000000n, f(n)
", f2(n)
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Justify your answer!
Example: The function f(n) = n grows asymptotically slower then the function
g(n) = n²; that is, f(n) = O(g(n)), but g(n) & O(f(n)).
(ii) Using big O-notation show that n¹+0,001 & O(n).
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