What set in stone the equality for me was learning about limits and series, because 0.999... is essentially a funny way to represent a serie. Before that, desp

What set in stone the equality for me was learning about limits and series, because 0.999... is essentially a funny way to represent a serie. Before that, despite accepting the proofs that were given to me, there was always something in the back of the brain telling me "mmmm there is something wrong in that". The only thing close to that was a reasoning like the following: 1 divided by 3 = 1/3 = 0.333..., but then 3 * 0.333... = 0.999... so 1 = 0.999... This comment in the wikipedia page nails it down: "The lower primate in us still resists, saying: .999~ doesn't really represent a number, then, but a process. To find a number we have to halt the process, at which point the .999~ = 1 thing falls apart. Nonsense."