Question L. [8 points, 1 pt each part] Simple proofs, true or false. Decide if each of the following stataments is true or false and give a proof. You need to identify the values for the constants c and no as used in the definitions of big-O, and a) log(n-2)(n+3)) is O(n2) b) log((n-2) (n+3)) is 2(n log n) c) (n+ log(n)) (n+8) is O(n) d) (n+ log(n))(n+8) is (n log n) e) n +2n +3n +4n +...+ (n)n is O(n') f) n2+2n2+3n2+4n4 + (n)n2 is (n) g) 50n 0.001n is O(n') h) 50n + 0.001 ns is (n4)