Least Upper bound and Maximum of a Set

**charikaar** · Nov 8th 2009, 05:07 AM

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

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

Thank you.

**HallsofIvy** · Nov 8th 2009, 06:32 AM

Originally Posted by charikaar

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

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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