3. For x, y R, define 1, xy d(x,y) = (0.1) x = y. (a) Prove...

 

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3. For x, y R, define 1, xy d(x,y) = (0.1) x = y. (a) Prove that d defines a metric on R. (b) Find N, (0), where N,(0) = {x R d(x, 0) 3. For x, y R, define 1, xy d(x,y) = (0.1) x = y. (a) Prove that d defines a metric on R. (b) Find N, (0), where N,(0) = {x R d(x, 0)