Prove That the Following Limit Does Not Exist $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } f ( x , y )$

question 101

Essay

Prove that the following limit does not exist: $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } f ( x , y )$ where $f ( x , y ) = \frac { x y } { x ^ { 2 } + y ^ { 4 } }$ .

---

Definitions:

Cost Leadership Strategy

A business approach aiming to become the lowest cost producer in an industry to offer products or services at competitive prices.

Reducing Expenses

The act of cutting down on costs or spending in order to improve overall financial health.

Market Segments

Subsets of a market made up of people or organizations with one or more characteristics that cause them to demand similar product or service based on qualities of those products.

Product Prices

Product prices are the amounts sellers charge consumers to purchase goods or services.