8. Let d denote the discrete metric on a set X. Let (n) be a convergent sequence on (X, d). Which of the following is necessarily true? (a) (xn) is a constant sequence. (b) (rn) is not a constant sequence. (c) There exists a natural number N such that r, = rN for n 2 N. (d) There exists a natural number N such that rn # xN for n 2 N.

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