Find the supremum of the set (0,1). Fully justify your answer.

Question

Find the supremum of the set (0,1). Fully justify your answer.

Answer 1

Here's a hint - The supremum is the least upper bound of the set. It does not have to be in the set itself (in this case there is no maximum element of the set). What is the smallest real number that this set is upper-bounded by?