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

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

Arrange the Functions n3/2,log⁡(nn),(n100)n and log⁡(n!)n ^ { 3 / 2 } , \log \left( n ^ { n } \right) , \left( n ^ { 100 } \right) ^ { n } \text { and } \log ( n ! )n3/2,log(nn),(n100)n and log(n!)

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