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Math Help - compactness and connectedness in R^2

  1. #1
    Junior Member sorv1986's Avatar
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    kolkata, india
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    Thumbs up compactness and connectedness in R^2

    i am just confused how to solve it.

    Let A={(x, x Sin(1/x)) ∈ Rē:x ∈ (0,1] } and
    B=A U (0,0).
    Then
    1. is A compact and connected?
    2. is B compact and connected?

    Thanks in advance. Regards
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