Consider $f ( x , y ) = \frac { ( x - 2 ) ^ { 2 } } { ( x - 2 ) ^ { 2 } + y - 5 }$ .Use the cross-sections $f ( 2 , y )$ and $f ( x , 5 )$ to explain why $\lim _ { ( x , y ) \rightarrow ( 2,5 ) } f ( x , y )$ does not exist.

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The Answer of Consider $f ( x , y ) = \frac { ( x - 2 ) ^ { 2 } } { ( x - 2 ) ^ { 2 } + y - 5 }$ .Use the cross-sections $f ( 2 , y )$ and $f ( x , 5 )$ to explain why $\lim _ { ( x , y ) \rightarrow ( 2,5 ) } f ( x , y )$ does not exist.

Consider f(x,y)=(x−2)2(x−2)2+y−5f ( x , y ) = \frac { ( x - 2 ) ^ { 2 } } { ( x - 2 ) ^ { 2 } + y - 5 }f(x,y)=(x−2)2+y−5(x−2)2​

Consider $f ( x , y ) = \frac { ( x - 2 ) ^ { 2 } } { ( x - 2 ) ^ { 2 } + y - 5 }$