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

question 168

Essay

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

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Definitions:

Somatic Symptom Disorder

A mental condition characterized by an excessive focus on physical symptoms, such as pain or fatigue, which cause significant distress and difficulties in functioning.

Secondary Gains

The advantage or benefit individuals might unconsciously gain from maintaining mental health issues or physical illness.

Cognitive Style

An individual's preferred way of processing information, making decisions, and solving problems.

Dissociative Identity Disorder

A severe form of dissociation, a mental process that produces a lack of connection in a person's thoughts, memory, and sense of identity.