I have this as a homework question and don’t remember learning it in class. Can someone point me in the right direction or have documentation on how to solve these types of problems?
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You can prove it by applying L’Hopitals rule to lim n-> infinity of 5n/nlogn
g(n) = 5n and f(n)=nlogn
Derivate g(n) and f(n) so you will get something like this
5/(some stuff here that will contain n)
5/infinity = 0 so 5n = O(nlogn) is true