WebSep 14, 2016 · 1 Answer Sorted by: 0 Big O is the mathematical domination, so you have just to prove that there is no constant C for which 3^n < C*n^2 after a certain N. This is not posible since the serie : u (n) = 3^n/n^2 is strictly growing when n tend to infinite. WebFeb 4, 2013 · You need to prove by contradiction. Assume that n^2 is O (n*log (n)). Which means by definition there is a finite and non variable real number c such that n^2 <= c * n * log (n) for every n bigger than some finite number n0. Then you arrive to the point when c >= n /log (n), and you derive that as n -> INF, c >= INF which is obviously impossible.
proof verification - Prove that $n!>n^2$ for all integers $n …
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