$\displaystyle \left\{ {x\in \mathbb{R}:sinx\geq 0} \right\}$ I think Least upper bound and maximum element does not exist for the above Set. Am i correct? Thank you.
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Originally Posted by charikaar $\displaystyle \left\{ {x\in \mathbb{R}:sinx\geq 0} \right\}$ 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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