Rank the following functions by order of growth, in increasing order. You Must write the order clearly. If two functions have the same growth rate - indicate them clearly with a remark.

lg*n, n^2, lg n, 4^lg n, n lg n, ln ln n, n, 2^n, n!, n^(n+1), n^1.001, (3/2)^n, n lg lg n, 2^(n/2)