Can 0.0000....1 be expressed? An infinite zero after the decimal with 1 at its end. If we can imagine such a number surely there is a way to express it.

0.3333....3 is 1/3 Can 0.000....1 be expressed differently? How about 0.0000...2?

Asking this question because if 0.000...1 is equal to zero then 0.000...2 is also equal to zero as zero plus zero is equal to zero. But as the number enlarge infinitely there will come a time when it will reach 0.999...9 and that is equal to one. Zero can't be equal to one. And so looking for ways to express this decimal or infinite series in anther form.