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Math Help - metric spaces

  1. #1
    Junior Member
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    metric spaces

    Consider the set S defined by S = {1/n, n e N}
    Is S closed or open in R with respect to the tandard metric

    Determine the interior, the closure and the boundary of the set S
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  2. #2
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    Given a point s in S, can you construct an open ball about s contained entirely in S?
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