Question: Let a sequence of sets Ai E M(X) converge to a set A E M(X) with respect to the Hausdorff distance (in short: A,

Let a sequence of sets Ai E M(X) converge to a set

Let a sequence of sets Ai E M(X) converge to a set A E M(X) with respect to the Hausdorff distance (in short: A, A in M(X)). Prove that 1. A is the set of limits of all converging sequences {an} in X such that an E An for all n. 2. A N(closure of U-n Am).

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