Question: I don't get this problem. Let X =(x) be a sequence of non-zero elements of R' and let r be given by r = lim

I don't get this problem.

Let X =(x) be a sequence of non-zero elements of R' and let r be given by r = lim sup (Ix.+1/1/|x. ID). (a) Show that if r 1. (c) If lim inf (/x.+1/)/|x.[)> 1, show that the series _ (x.) is not absolutely con- vergent

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