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Show That the Limit lim(x,y)(0,0)2x2y2x2+2y2\lim _ { ( x , y ) \rightarrow ( 0,0 ) } \frac { 2 x ^ { 2 } - y ^ { 2 } } { x ^ { 2 } + 2 y ^ { 2 } }

question 109

Essay

Show that the limit lim(x,y)(0,0)2x2y2x2+2y2\lim _ { ( x , y ) \rightarrow ( 0,0 ) } \frac { 2 x ^ { 2 } - y ^ { 2 } } { x ^ { 2 } + 2 y ^ { 2 } } does not exist.


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