Question: 6. Let E R. Prove that E is closed if, for every x_0 such that there is a sequence {x_n} of points of E converging

6. Let E R. Prove that E is closed if, for every x_0 such that there is a sequence {x_n} of points of E converging to x_0, it is true that x_0 E. In other words, prove E is closed if it contains all limits of sequences of members of E.

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