Like you said, mate, if the string never determines to a finite value, you are left with some 'limits' loophole for saying anything at all about the 'end' of such an infinite string. Yes?
And if you agree that ZERO is an 'infinitesimal and not 'nothing', then adding a last zero is merely reflecting whatever VALUE that last effective 'step' to resolution has in reality which transitions the string from unreal/unending abstraction to a real/determinable concrete value that brings it back from 'infinity' unknown state. Hence the valid hypothesis that 'nothing' does NOT exist in reality energy-space.
Zero as 'nothing' only exists as an abstraction of 'placeholder' in numeric system.....OR as a real BALANCE/TRANSITION/SUPERPOSITION state/location in REAL energy-space terms between one direction/system of dynamical phenomena sets and another.
Hence the hypothesis/axiom that '0' is an infinitesimal NON-nothing 'real value/point'.....and NOT '0' as currently treated axiomatically as the NOTHING which leads to all the undetermined/undefined etc absurdities and excuses.![]()
More word salad from the master chef of word salads. Look, this is basic calculus, you either know it or you don't, your pretending that you know doesn't pass the mustard. Let the ones that have made the effort to learn these subjects discuss, you definitely never learned math and it shows.