Math Help - Least Upper bound and Maximum of a Set

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

Thank you.

Originally Posted by charikaar

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.