EDIT: Nevermind about the "fraction" part. What I mean is a number whose last digit repeats infinitely.

The function is not defined at x=0.

What is the proper way to express numbers with an infinitely repeating last digit as the area under this function?

Taking a shot at it, if I take as an example the number I would say...

Is this correct? Is there a less ugly way to do it?

Thanks