.9999..... = 1

Right, so:

1/3 = .33333....
(1/3)*3 = 1
.33333....*3 = .9999....
Therefore 1 = .9999....

Does this mean that whole number do not exist and are just limits?

1/3 is 0.33 (infinite). No matter how many times you put 0.33.... you will never reach 1 when multiplied by 3.

The OP does not make any sense.

As the number of decimal places tends to infinity, you will indeed get 1 when its multiplied by 3. The simple fact you're saying that the number of 3's followed by the decimal points is infinite implies that its a third, and when multiplied by 3 will yield 1. You're not making any sense, the OP is just stating a simple piece of maths, that is indeed accepted.