Personally, picturing the digits never did it for me. I think I work better when thinking about quantities and values: the infinite number of 9s means the value

Personally, picturing the digits never did it for me. I think I work better when thinking about quantities and values: the infinite number of 9s means the value will continue increasing until it gets to 1. Or just understanding that 0.000...001, an "infinitesimal" quantity, is the same as 0. Something like that.