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contradiction

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We call an extended real number a cluster point of a sequence if a subsequence converges to this extended real number. Show that lim inf(a_n) is the smallest cluster point o (a_n and lim sup(a_n) is the largest cluster point of (a_n).

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Proof:
Let . I show that is the smallest cluster point of . If not, we can find some ...

Solution Summary

A contradiction is clearly expressed.

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