Question: Show that lim ( x , y ) ( 0 , 0 ) x 2 y - y 3 x 2 + y 4 does

Show that lim(x,y)(0,0)x2y-y3x2+y4 does not exist.
Show that lim(x,y)(0,0)x2yx2+y2 does not exist.
Show that lim(x,y)(0,0)2x3-2xy2x2+y2 does not exist.
Show that lim ( x , y ) ( 0 , 0 ) x 2 y - y 3 x 2

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