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Let (X,d) be a metric space. Let E ⊆ X. Consider the set L of all...

  1. Let (X,d) be a metric space. Let E ⊆ X. Consider the set L of all points in X which are limits of sequences contained in E. Prove or disprove the following:

    (a) L⊆E. (b) L⊆Ē. (c) L̄ ⊆ Ē.

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