the reals are defined as limits of the sequences of rationals, and thus the rationals are dense in reals by that definition.
>since rational numbers are countably infinite
while the set of all the infinite convergent series of rationals happens to be strongly larger than countably infinite.
the reals are defined as limits of the sequences of rationals, and thus the rationals are dense in reals by that definition.
>since rational numbers are countably infinite
while the set of all the infinite convergent series of rationals happens to be strongly larger than countably infinite.