(3 points each) State if each statement is true or false and give a justification either way. (you may use any of the methods used in class including the limit rules and the table of increasing functions.) (a) nlognO(n) (b) (n+1)5(0.01n510n4) (c) nlogno(i=0ni) (d) log(nlogn)O(log(n2)) (e) n6((n3)) (f) log(log(nn))(log(n)) (g) k=0n(nk)(2n) (h) (2n)!o((n!)2)