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Math Help - sequential compactness

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    sequential compactness

    How do you prove the following theorem?
    If X is a metric space and E a subset of X is compact, then E is sequentially compact.
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    Quote Originally Posted by Alex314 View Post
    How do you prove the following theorem?
    If X is a metric space and E a subset of X is compact, then E is sequentially compact.
    Is it possible that there is an infinite subset of E with no accumulation point in X?
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