Arrange the following functions in a list so each is big-$O$ of the next one in the list: log $n ^ { 2 }$, log log $n , n$ log $n$ $\log \left( n ^ { 2 } + 1 \right) , \log 2 ^ { n }$

Question

Arrange the following functions in a list so each is big-$O$ of the next one in the list:  log $n ^ { 2 }$, log log  $n , n$  log $n$ $\log \left( n ^ { 2 } + 1 \right) , \log 2 ^ { n }$

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The Answer of Arrange the following functions in a list so each is big-$O$ of the next one in the list:  log $n ^ { 2 }$, log log  $n , n$  log $n$ $\log \left( n ^ { 2 } + 1 \right) , \log 2 ^ { n }$

Arrange the Following Functions in a List So Each Is OOO

Arrange the Following Functions in a List So Each Is $O$