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Question

# Use the $\epsilon=\delta$ definition of limit to verify the limit statements given.$\lim _{(x, y) \rightarrow(0,0)}\left(x+y^{2}\right)=0$

Solution

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Using $\epsilon$-$\delta$ definition of the limit we prove that $(x+y^{2})\to 0$ as ${(x, y)\rightarrow(0, 0)}$.

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