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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).© BrainMass Inc. brainmass.com March 21, 2019, 10:35 pm ad1c9bdddf
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Let . I show that is the smallest cluster point of . If not, we can find some ...
A contradiction is clearly expressed.