Question: 2. We know that limn co an = 0 does not necessarily mean that _ an converges. Show that nevertheless, if lim infn- an =

2. We know that limn co an = 0 does not necessarily mean that _ an converges. Show that nevertheless, if lim infn- an = 0, then there exists a subsequence (any ) KEN Such that _k=1 anx converges. (Hint: Find a subsequence such that an,

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