Thread: Least Upper bound and Maximum of a Set

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

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

Thank you.

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.