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## Homework Statement

For example in:

lim (x,y) -> (0,0) [(xy^2)/(x^2+y^4)]

This limit does not exist (according to textbook), but if you use squeeze theorem since y^2<(x^2+y^4)

y^2/(x^2+y^4) <= 1 and therefore

0 <= (xy^2)/(x^2+y^4) <= x

as x--> 0

so

lim (x,y) -> (0,0) [(xy^2)/(x^2+y^4)] = 0?