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7. Let {E} be a monotone sequence of sets, that is, Ek C Ek+1 for k = 1, 2,... or Ek+1 C Ek for

7. Let {E} be a monotone sequence of sets, that is, Ek C Ek+1 for k = 1, 2,... or Ek+1 C Ek for k = 1, 2,... Prove that, in either situation, we have lim inf Ek = lim sup Ek. 0043 k

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