- #1

member 731016

- Homework Statement
- I am trying to find the maximum of the set of real numbers in the open interval ##(0,2) ##

- Relevant Equations
- ##(0,2)##

For this,

I am trying to understand why the set ##(0,2)## has no maximum. Is it because if we say for example claim that ##a_0 = 1.9999999999## is the max of the set, then we could come along and say that ##a_0 = 1.9999999999999999999999999999## is the max, can we continue doing that a infinite number of times so long that ##a_0 < 2##.

Many thanks!

I am trying to understand why the set ##(0,2)## has no maximum. Is it because if we say for example claim that ##a_0 = 1.9999999999## is the max of the set, then we could come along and say that ##a_0 = 1.9999999999999999999999999999## is the max, can we continue doing that a infinite number of times so long that ##a_0 < 2##.

Many thanks!