(a) In a metric space (M,d), prove that the sequence (b) = (b, b,b,...) is converge to the point b. (b) In a metric space (S, d), assume that xnx and yny. Prove that d(xn. Yn)- d(x,y) in (R,11). (c) In any metric space, prove that every convergent sequence has unique limit point.

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