Find Two Paths of Approach from Which One Can Conclude $$f ( x , y ) = \frac { y ^ { 2 } } { y ^ { 2 } - x }$$

question 345

Essay

Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).
- $$f ( x , y ) = \frac { y ^ { 2 } } { y ^ { 2 } - x }$$

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Definitions:

Social Structure

The organized pattern of social relationships and social institutions that together compose a society.

Stable Patterns

Denotes consistent and enduring behaviors, practices, or conditions that persist over time within a society or environment.

Social Relations

The connections and interactions between individuals and groups in society, including their social structures and organizations.

Functionalism

A theoretical perspective in sociology and anthropology that interprets and evaluates society as a complex system whose parts work together to promote solidarity and stability.