Minor quibble: since binary 0.1111… is 1, you need a number like 0.1010101… to get an actual counterexample.
Afaict, the original post doesn’t contain any mention of binary fractions.
An infinite binary sequence consisting entirely of ones doesn’t represent any finite integer.
Minor quibble: since binary 0.1111… is 1, you need a number like 0.1010101… to get an actual counterexample.
Afaict, the original post doesn’t contain any mention of binary fractions. An infinite binary sequence consisting entirely of ones doesn’t represent any finite integer.