How to represent number that is the smallest possible value larger than another number? How would I represent the number, i, that is one increment larger than $x$, where an increment is infinitely small.
For example, if $s \in (1,2)$, $i$ would be the smallest number $s$ can take on if $x=1$. I thought about making it $i= x+ (\lim_{n\to\infty} \frac{1}{n})$ but this evaluates to $x$. How would I represent this number $i$ for a given $x$?
I could represent it as $i=\text{min}(s)$ for $s \in (x,\infty)$ but this seems messy. I'm looking for a cleaner way to write this if possible

Based on the reading from Player3236's comment, I understand that this is not possible and more importantly why this is not possible. examples to understand why for any future readers
