Rank the following functions by order of growth; that is, find an arrangement g1, g2, g3, ... of the functions satisfying g1 = O(g2), g2 = O(g3), n 3 , n/ log2 n, n log n,(1.1)n , 1/n3 , log6 n, 1/n, 2 lg n , n!, nlg lg n , 2 √ log n , n1/ log n Note: lg or log means logarithm to the base 2. Note that log6 n is the usual way of writing (log n) 6 .