### Give big-O estimate for each of these function

a) Arrange the function (1.5)^n, n^100, (log n)^3, (n^1/2)*log n, 10^n, (n!)^2, n^99 +n98 in a list so that each function is big-O of the next function. b) Give big-O estimate for each of these functions. For the function g in your estimate f(x) is O(g(x)), use a simple function g of smallest order. i) (n^3 + (n^2)*log n) *