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

question 7

Short Answer

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

---

Definitions:

Unit Elastic

Describes a demand or supply situation where a change in price leads to a proportional change in the quantity demanded or supplied.

Total Revenue

The total income generated by a business through the sale of goods or services before any costs or expenses are deducted.

Downward-sloping

A graphical representation indicating a negative relationship between two variables, such as price and quantity demanded in the demand curve.

Elasticity of Demand

A measure of how much the quantity demanded of a good responds to a change in the price of that good, quantitatively expressed as the percentage change in quantity demanded divided by the percentage change in price.