Q Sum For parts (a)-(e), decide if it is true or false. If the statement is true, then prove it (to prove it you will either need to use the definition and find constants or use the limit laws). If the statement is false, then give a reason or a counterexample a. 10n2 = O(n3). b. n2 ∈ Ω(n3) c. 2n ∈ O(2n+1) d. n! ∈ Θ((n + 1)!) e.√n = O(nsin(n))
Q Sum For parts (a)-(e), decide if it is true or false. If the statement is true, then prove it (to prove it you will either need to use the definition and find constants or use the limit laws). If the statement is false, then give a reason or a counterexample a. 10n2 = O(n3). b. n2 ∈ Ω(n3) c. 2n ∈ O(2n+1) d. n! ∈ Θ((n + 1)!) e.√n = O(nsin(n))
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section: Chapter Questions
Problem 15RP
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For parts (a)-(e), decide if it is true or false. If the statement is true, then prove it (to prove it you will either need to use the definition and find constants or use the limit laws). If the statement is false, then give a reason or a counterexample
a. 10n2 = O(n3).
b. n2 ∈ Ω(n3)
c. 2n ∈ O(2n+1)
d. n! ∈ Θ((n + 1)!)
e.√n = O(nsin(n))
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