Question 3 Prove or disprove the following statements, using the relationship among typical growth-rate functions seen in class. a) n/5log n + n is O(n log n) b) 157n5 + 5n4 + 8000000n+ n is O(n) c) n is 12 (n!) d) 0.01n9 + 800000n? is O(n) e) n14 + 0.0000001n) is N2(n13) f) n! is O(31)