Question: For any x Rn we define the quantity ||x|| = max1in |xi|. Moreover, for any fixed a Rn and r > 0, we define

For any x Rn we define the quantity ||x|| = max1in |xi|. Moreover, for any fixed a Rn and r > 0, we define the cube B(a,r) = {x R^ : ||x a|| r}. Show that Boo (a, r) is convex.

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