2010-03-18, 09:25 AM
shouri Wrote:That's because he wasn't correct when he stated that .999999..... is in the open set [0,1).
.99999..... is 1. It's not in [0,1)
Also, what definition of upper bound do you guys have 0.o
In real analysis, an upper bound is any number bigger than or equal to everything in the set. So any number bigger than 1 is an upper bound for both [0,1] and [0,1).
The least upper bound would be the minimum of all upper bounds. Which in both cases would be 1.
[0,1
I was always taught that 0 <= x < 1 is equivalent to [0,1). So yeah, there's no largest number in that set.

