?15E Show that (n ? ? log ?n? + ?n?2)3 is ?? ).n

Solution: Step 1 For two given functions f(x) and h(x), we can say that f(x) is O(h(x)) if and only if there exists two constants B and l , such that |f(x)| B|h(x)| whenever x > l . In this problem we need to prove that (n log n + n ) is O(n ). 6