[分析] 初微(45)

[TaiwanBank (澳仔金控台灣分行)]

Let {c_n} be a sequence of positive numbers, show that

                 c_{n+1}
        lim inf --------- ≦ lim inf c_n^{1/n}.
         n→∞     c_n        n→∞

Give an example such that ≦ can be ＜.

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推 JGU:example: {c_n} = {1,2,1,2,1,2,....}