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Find Two Paths of Approach from Which One Can Conclude

question 76

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Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0) .
-  Define f(0,0)  in a way that extends f(x,y) =6x2x2y+6y2x2+y2 to be continuous at the origin. \text { Define } f ( 0,0 ) \text { in a way that extends } f ( x , y ) = \frac { 6 x ^ { 2 } - x ^ { 2 } y + 6 y ^ { 2 } } { x ^ { 2 } + y ^ { 2 } } \text { to be continuous at the origin. }


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