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    Sequence Proof

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    Given Sn and S∈ (0,∞).
    If Sn →S, prove ∃α>0, ∃N∈N s.t. ∀n ≥ N, an>α.

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    Solution Preview

    There is a small mistake in your problem.
    The problem should be like this:

    Given Sn and S in (0,infinity). If Sn approaches ...

    Solution Summary

    A sequence proof is provided. The proof is concise.