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

question 45

Short Answer

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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Definitions:

Illusion of Control

The false belief that one can influence outcomes over which they actually have no control.

Internals

Individuals who believe they can control their lives and outcomes through their own efforts, reflecting an internal locus of control.

Coronary-prone Behavior Patterns

Personality traits and behaviors, such as hostility and urgency, which have been linked to an increased risk of heart disease.

Self-efficacy Expectations

The belief in one's ability to execute behaviors necessary to produce specific performance attainments, influencing how one feels, thinks, and acts.