Question: please provide a thorough proof Let (Xn) be a sequence of real numbers such that In - No E R as n -+ 00. Show

please provide a thorough proof

Let (Xn) be a sequence of real numbers such that In - No E R as n -+ 00. Show that there exists a subsequence (Inx ) of (In) such that for all k E N, we have 2k

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