Find Two Paths of Approach from Which One Can Conclude $$f ( x , y ) = \frac { x ^ { 2 } y } { x ^ { 4 } + y ^ { 2 } }$$

question 149

Essay

Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).
- $$f ( x , y ) = \frac { x ^ { 2 } y } { x ^ { 4 } + y ^ { 2 } }$$

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Definitions:

Catharsis

The process of releasing and thereby providing relief from strong or repressed emotions, often through art, dialogue, or reflection.

Self-Esteem

A person's personal and subjective assessment of their own value in terms of emotions.

Individualism

A principle favoring freedom of action for individuals over collective or state control.

Experience Of Flow

A highly focused mental state conducive to productivity, characterized by full immersion and enjoyment in the task at hand.