Let f (n) and g(n) be functions mapping nonnegative integers to real numbers. We say that f (n) is (g(n)) if there is a real constant c > 0 and an integer constant n₀ 1 such that for all n n₀ , f (n) c g(n).

Show that n² is (nlog n) by specifying the constants c and n₀ in the definition above and providing the algebra that shows that the definition is satisfied.