nlogn and n^3/2 which one is highest

The function n^3/2 is greater than nlogn for all values of n greater than 1. This can be seen by comparing the growth rates of the two functions.

The function nlogn grows at a rate of nlogn, while the function n^3/2 grows at a rate of n^3/2. As n approaches infinity, the growth rate of n^3/2 will be greater than the growth rate of nlogn. Therefore, n^3/2 is higher than nlogn for all values of n greater than 1.