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Find Two Paths of Approach from Which One Can Conclude f(x,y)=xyx2+y2f ( x , y ) = \frac { x y } { x ^ { 2 } + y ^ { 2 } }

question 303

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)=xyx2+y2f ( x , y ) = \frac { x y } { x ^ { 2 } + y ^ { 2 } }

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