Question: (4 points) Let (X, d) be a metric space. Suppose (In )neN is a sequence in X which converges to r E X. Let S

(4 points) Let (X, d) be a metric space. Suppose (In )neN is a sequence in X which converges to r E X. Let S := {In; n EN]U {x}. Show that S is compact. (Note: You can use any of the characterizations of compactness from class)

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