>>14197927>Is hexadecimal 0.FFF... a larger "number" than 0.999..., do you say?nayrt. Hexadecimal: 0.FFF... approaches a whole faster than base 10: 0.999... because it begins by being 1/16:th (base 10) away from a whole, and is in the next step 1/256:th (base 10) away from a whole. 0.999... on the other hand is first 1/10:th (base 10) away, then 1/100:th (base 10) away, and so on.
So it begs to reason that the hexadecimal version of the problem approaches a whole "faster" than the decimal version. Do note however, all limitfags, that limits are to be spoken of in precisely this way, something that is being approached and not something which is reached.
Certainly the limit of both of these ideas is the whole, and as n reaches towards infinity you get infinitely close. But: if you claim to have actually reached infinity and ended up right at the limit, you have played yourself. You do not reach infinity. But by all means, approximate your equations in the final step if you so desire.