Prove or disprove the following: (a) Every interior point of AC R is a limit point...

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Prove or disprove the following: (a) Every interior point of AC R is a limit point of A. (b) Every connected metric space with at least two points is uncountable. (c) If (n) and (yn) are Cauchy sequences in a metric space X, then (d(xn, Yn)) converges. [3 x 10 = 30] Prove or disprove the following: (a) Every interior point of AC R is a limit point of A. (b) Every connected metric space with at least two points is uncountable. (c) If (n) and (yn) are Cauchy sequences in a metric space X, then (d(xn, Yn)) converges. [3 x 10 = 30]

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