Arrange the Functions $n ^ { 3 / 2 } , \log \left( n ^ { n } \right) , \left( n ^ { 100 } \right) ^ { n }$

Short Answer

Arrange the functions $n ^ { 3 / 2 } , \log \left( n ^ { n } \right) , \left( n ^ { 100 } \right) ^ { n }$ and $\log ( n ! )$ in a list so that each function is big- $O$ of the next function .