Sacred Mathematics

I have two numbers:

A = 1
B = 0.99999999 .... (infinite fraction)

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Are these two numbers equal or not?
Show strong mathematical proof.
 
An Aussie who changed his name to Jain 108 has a sacred mathematics mission. Here are some of his videos:

Video Centre - Jain 108

His books & e-books are far too expensive!

He's a good showman. But doesn't have a lot of depth in understanding his "mathMAGIC" tricks. In fact, he screws up regularly. As in the Vedic Math vid where he tries to pull off a "shortcut" to what is the product of 96*95 and completely blows the answer.

It's OK to have a "reverence" for how mystical math can be. But this isn't it..
 

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