Rearrange the following 9 functions in a decreasing order of

Rearrange the following 9 functions in a decreasing order of their growth 10^n, 100 n, n!, 1, (log(n^1000)), squareroot (n), 2nlog(n), log(log(n)), n^10

Solution

Functions decreasing order of their growth.

n! > 10ⁿ > n¹⁰ > (log(n¹⁰⁰⁰)) > 100n > 2nlog(n) >sqrt(n) >log(log(n)) > 1