Question: Let {s } be a sequence. Suppose you find some subsequence {s, } of {s, } that converges to L, {sn,} - L. Must {}

Let {s } be a sequence. Suppose you find some subsequence {s, } of {s, } that converges to L, {sn,} - L. Must {} - L also? Either prove that it will or else give an explicit counterexample

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