What you wrote is much too wonkish. Because what Mückenheim wrote shows that he is already totally clueless about infinite decimal fractions. He is obviously too stupid, and willfully so, to understand even the most basic facts about such fractions, taken as sequences of their finite partial fractions. Facts that are explained in any decent (so probably not in Mückenheims "bestseller") introductory calculus book. Must be a crazy country in which such a person qualifies to teach mathematics at a so-called "university".