0.999...= 1
Sorry for my naivety, but why one couldn&#x27;t prove by induction that adding 9s never close the gap, or let&#x27;s say, that by definition the operation is such, that it never closes the gap. If you can always halve the pie, then you can continue eating forever.
To me it would be much easier to accept that (1&#x2F;3)*3 is not 1.