Question: .- .L ._, .. .. .. -._. .- 3. Consider a function d : R2 x R2 > R such that d(:1:,y) : 0 if

.- .L ._, .. .. .. -._. .- 3. Consider a function d : R2 x R2 > R such that d(:1:,y) : 0 if :1: = y, and d(:1:} y) : 1 if a,\" 75 y. (1) (5 pts.) Check if (R2,d) is a metric space. (2) (5 pts.) Consider a set 31(0) = {x E R2 : HxH 4'. 1} C R2 where H - H is the Euclidean OI'Ill. Is it totally bounded in the metric space (Rd)

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