Consider the sets A and B
A = the partial sums of $\sum_{n=1}^{\infty}\frac{9}{10^n}$
B = 1+ the partial sums of $\sum_{n=1}^{\infty}\frac{9}{10^n}$
>A:[0.9, 0.99, 0.999, 0.9999, ...]
>B:[1.9, 1.99, 1.999, 1.9999, ...]

Let set C = A union B.
>C:[0.9, 0.99, 0.999, ... , 1.9, 1.99, 1.999, ...]

where is 1 in C?
Can 1 in C be indexed?
Does 1 exist in C?