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fiNd the Best Big-O Function for the Function  1, log2n,n,nlog2n,n2,n3,,2n,n!\text { 1, } \log _ { 2 } n , n , n \log _ { 2 } n , n ^ { 2 } , n ^ { 3 } , \ldots , 2 ^ { n } , n !

question 27

Short Answer

find the best big-O function for the function. Choose your answer from among the following:  1, log2n,n,nlog2n,n2,n3,,2n,n!\text { 1, } \log _ { 2 } n , n , n \log _ { 2 } n , n ^ { 2 } , n ^ { 3 } , \ldots , 2 ^ { n } , n !
- f(n)=1+2+3++(n21)+n2f ( n ) = 1 + 2 + 3 + \cdots + \left( n ^ { 2 } - 1 \right) + n ^ { 2 }

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Definitions:

Benjamin Franklin

An American polymath who was a leading figure in the American Enlightenment, known for his contributions to the drafting of the Declaration of Independence and his experiments with electricity.

Junto

Originally, a club or assembly of individuals gathered for political or other purposes, often aimed at mutual improvement or societal influence.

Values

Core beliefs or standards that guide and motivate attitudes and actions.

Moral Behavior

Actions that align with societal, cultural, or personal norms of right and wrong, often involving considerations of fairness, justice, and ethics.

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