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:

Neural Impulse

The electrical signal that travels along a neuron, facilitating communication between the brain and other parts of the body.

Electrical

Pertaining to the technology, phenomena, or physical laws related to electric charges and their interactions.

Acetylcholine

A neurotransmitter in the nervous system that plays a key role in muscle activation and also influences many functions in the brain, including memory and learning.

Neurotransmitters

Chemical substances in the nervous system that transmit signals from one neuron to another across synapses, influencing mental processes and behavior.