1. True or False? (you must justify your claim using a limit argument, induction of some other method.) (a) 5(3") 0(3(5")) (b) (m + 2n + 1)2 0((3n+ 4n?)) (c) log(n) (log(n)) (d) O(n+1) for any fixed positive integer k (e) logn! (nilog n)