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viii) Let C[0,1] be the Cantor ternary set. Prove that C is Lebesgue measurable with measure zero. Are the numbers x=0.020000002 (base 3) and y=0.020000001

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viii) Let C[0,1] be the Cantor ternary set. Prove that C is Lebesgue measurable with measure zero. Are the numbers x=0.020000002 (base 3) and y=0.020000001 (base 3) in C? Justify

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