Explain why lim((-xy^2)/(x^2+y^4)) (limit x,y-->0,0) doesnât exist. Hint! For one path consider x=y^2.
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Consider the lim as x,y approaches (0,0) (x^2+y^2)/xy
Show that the following limit does not exist: lim(x,y) -> (0,0) (xy4) / (x2+ y8). Hint: instead of trying every path one by one, think critically about the function to help you skip to the one you need to get a contradiction.