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:

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