Prove or disprove the following statements, using the relationship among typical growth-rate functions a) nlog n + n is O(n log n) b) 157n5+5n+ 8000000n2 + n is O(n) c) n" is 2 (n!) d) 0.01n+800000n is O(n) e) n + 0.0000001n is (n) f) n! is O(3)