Question: Show that the limit lim ( x , y ) ( 0 , 0 ) 5 x 2 y x 2 + y 2 exists

Show that the limit lim(x,y)(0,0)5x2yx2+y2 exists and is the same along the paths: y-axis and x-axis, and along y=x
Show that the limit lim ( x , y ) ( 0 , 0 ) 5 x 2

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