1 = 0,99........

[Bridge]

Dude, the two are one and the same. Compute and calculate are synonyms, and computers were first invented to compute data. Calculators are just computer programs that take in an n amount of numbers and operators and return the calculated value of those numbers.

As I said, computers cannot work with infinite numbers. Regular integers on 32bit computers are 4 bytes large and the maximum value of a signed (both negative and positive) is 2,147,483,647. The absolute highest value I can get is an unsigned long long integer and that value is 18,446,744,073,709,551,615. Now I don't have a supercomputer but this is the absolute largest integer my compiler and computer support and it is far from infinite. I don't want to sound like a douchebag and pretend like I actually proved that 0.9~ is not equal to 1, but I think I proved that modern computers cannot work with infinite numbers. The number above is likely a 64bit integer which is the most that a 64bit computer architecture can handle.

All of these numbers took up physical memory while I was doing these calculations which should be sufficient proof that computers cannot work with infinite series. Again, there is no such thing as infinite memory. If you see a calculation in a computer program that works with an infinite series it is because somebody defined that infinite series with a finite number specified in some header somewhere. Infinitesimals are the same deal. They are too small to be measured, and if you want to do a calculation on a computer you need something measurable.