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Math Help - Least Upper bound and Maximum of a Set

  1. #1
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    Least Upper bound and Maximum of a Set

    \left\{ {x\in \mathbb{R}:sinx\geq 0} \right\}

    I think Least upper bound and maximum element does not exist for the above Set. Am i correct?

    Thank you.
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  2. #2
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    Quote Originally Posted by charikaar View Post
    \left\{ {x\in \mathbb{R}:sinx\geq 0} \right\}

    I think Least upper bound and maximum element does not exist for the above Set. Am i correct?

    Thank you.
    Yes, since sin(x) is periodic there is no upper bound on the values of x and so no least upper bound or maximum.
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