0.9999.... = 1.0

[Netyaroze]

drkohler said:

Netyaroze said:

The difference between 0.9999..... and 1 is infinitely small but infinites can never end so 0.9999..... can never really equal 1 its always just almost 1 in theory.

 No. you don't get it. 0.(period)9 is EXACTLY 1

0.(period)9 can be written as a convergent geometrical series which has the mathematical value of 1.

Yes I saw the argument and its correct. Its practically 1. Still there is one thing in nature that reflects that it will never be 1. Eventhough getting arbitrarily close means that they're equal mathematically speaking.

 

Lightspeed can never be reached for objects with mass, you can get arbitrarily close but it will never be lightspeed no matter what you do. So 0.9999..c is c in mathematics but in real life everything becomes nothing if that were to happen. Humans can not understand infinities math breaks down too the more we get to a singularity/infinity.