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Find lim⁡(x,y)→(1,1)x−y4x3−y4\lim _ { ( x , y ) \rightarrow ( 1,1 ) } \frac { x - y ^ { 4 } } { x ^ { 3 } - y ^ { 4 } }

Question 104

Essay

Find lim⁡(x,y)→(1,1)x−y4x3−y4\lim _ { ( x , y ) \rightarrow ( 1,1 ) } \frac { x - y ^ { 4 } } { x ^ { 3 } - y ^ { 4 } } if it exists, or show that the limit does not exist.

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