Consider $f ( x , y ) = \frac { ( x - 2 ) ^ { 2 } } { ( x - 2 ) ^ { 2 } + y - 5 }$

question 74

Essay

Consider $f ( x , y ) = \frac { ( x - 2 ) ^ { 2 } } { ( x - 2 ) ^ { 2 } + y - 5 }$ .Use the cross-sections $f ( 2 , y )$ and $f ( x , 5 )$ to explain why $\lim _ { ( x , y ) \rightarrow ( 2,5 ) } f ( x , y )$ does not exist.

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Definitions:

Income Increase

A rise in the amount of money received by individuals or entities, typically through earnings, investments, or bonuses.

Normal Good

A good for which demand increases when consumer income rises, and falls when consumer income decreases, all other factors being equal.

Student Income

The amount of money earned or received by students from employment, grants, stipends, or other sources while pursuing their studies.

Demand RISE

An increase in the quantity of a product or service that consumers are willing and able to purchase at a given price.