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Find Two Paths of Approach from Which One Can Conclude f(x,y)=x5−yx5+yf ( x , y ) = \frac { x ^ { 5 } - y } { x ^ { 5 } + y }

Question 173

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)=x5−yx5+yf ( x , y ) = \frac { x ^ { 5 } - y } { x ^ { 5 } + y }

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