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並前往https://www.math.ucdavis.edu/~hunter/m127a_19/limsup_liminf.pdf

The lim inf and lim sup and Cauchy sequences - UC Davis Math

Suppose that (xn) is a bounded sequence, meaning that there exist m, M ∈ R such that m ≤ xn ≤ M for all n ∈ N. Let Tn ⊂ R be the set of terms of the ...

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