Attempting to express infinitesimals using Arabic numerals

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I've been researching infinitesimals in my spare time, and have come to an hypothesis. Is it fair to say that $\varepsilon = 0.\bar01$? In English: the infinitesimal $\varepsilon$ is equal to an infinite amount of zeros after the decimal point, followed by $1$.

This would mean that the equation $\varepsilon/2=0.\bar005$ is true by extension.

Thanks.