Let d(x,y) = |1/x - 1/yl be a metric on RI(0}XRI(O}. Then the open ball of center 1/2 and radius 1/3 is * None of the choices O 11/6, 2/5[ O 16, 6/5[ 16/5, 6[

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Q: = 0,1] and d be the usual metric, d(x, y) = a -y %3D en d can not induces a norm on X True False

A: the usual metric d(x,y)=|x-y| usually induces the norm.

Q: Q3: (a) In the metric space (S, d), Vx,y ES. If A = where S = [0, 1]; d(x, y) = |x-yl; A = [0,2),…

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Q: 2. (i) On R², consider the metric d(x, y) = 2x1-9₁ +4₂-9₂- In this metric, sketch the closed ball B₁…

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A: See the detailed solution below.

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A: Given

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