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8. Let $k Vin mathbb {R}$ and (a) Is it possible to construct a function $phi_{k}: mathbb {R} ightarrow mathbb{R}^{2}$ such that $lim _{t ightarrow

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8. Let $k Vin \mathbb {R}$ and (a) Is it possible to construct a function $\phi_{k}: \mathbb {R} ightarrow \mathbb{R}^{2}$ such that $\lim _{t ightarrow 0} \phi_{k}(t)=(0,0$ and $\lim _{t ightarrow } g\left(\phi_{k}(t) ight)=k 75 Describe the graph of the curve $\phi_{k}$ for $k \in \mathbb {R} $. (b) What does this imply about $\lim _{(u, v) ightarrow(0,0)) g(u, v) ?$ SP.SD.424

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