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Let $ f(x, y) = \begin{cases} \dfrac{x^2y}{x^4+y^2}, & \text{ if } (x, y) \neq (0, 0) \\ 0 & \text{ if } (x, y) = (0, 0) \end{cases}$

Then $\lim_{(x, y) \rightarrow (0,0)}$$f(x,y)$

  1. equals $0$
  2. equals $1$
  3. equals $2$
  4. does not exist
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