A.R.B,

If you believe that 1 - (0.999...) is not equal to zero, consider Zeno's Paradox.

To get from Point

**A** to Point

**B**, one must reach half the distance. Then you must again reach half the distance,

*ad infinitum*.

In this sense, you will never be able to reach your goal because you will always have an infinitely small distance left to travel. Therefore, mathematicians accept that an infinitely small number to be equal to zero.

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Shura,

Interesting proof. I will need time to study it.