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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 ! )

question 19

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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 ! ) in a list so that each function is big-O of the next function.

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Definitions:

Autonomic Nervous System

The part of the nervous system that controls involuntary bodily functions, including heart rate, digestion, and respiratory rate.

Central Nervous System

The complex of nerve tissues that controls the activities of the body, principally consisting of the brain and spinal cord.

Somatic Nervous System

Part of the peripheral nervous system that handles voluntary control of body movements through the control of skeletal muscles.

Voluntary Nervous System

Refers to the part of the nervous system that governs voluntary movements of the body, typically associated with the somatic nervous system.

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