[Solution] Show that lim _(x, y) \rightarrow(0,0) (2 x^2 y)/(x^4+y^2) does not exist but that along every line through the origin, the limit does
Question: Show that \(\lim _{(x, y) \rightarrow(0,0)} \frac{2 x^{2} y}{x^{4}+y^{2}}\) does not exist but that along every line through the origin, the limit does exist.
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