1=0.999999999999999999999999999999999..., page-17

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    When we say 1/3 = 0.3333... we are correct. But this says that 1/3 is a infinite series, it does not resolve to a whole number ever. It is not 1.
    When we say 1/9 = 0.1111.... we are correct. Again it says that 1/9 is an infinite series, it never terminates and again isnt a whole number. It is not 1 either.
    So why would you say 1= 0.999...?

    When we say 1/1 = 1 we are correct. But that is because it resolves to a whole number.

    If we both agree that 1/1 = 1, then by definition 1/(whatever else that isnt 1) cannot equal 1

    Tell me, what number divided into 1 gives 0.99..?

    It certainly isnt 1, we agreed that already, or are you seriously saying 1/1 does not equal 1?
    Because you cant have it both ways.
 
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