Quote:
Originally posted by klaucke
That's the thing-- .99999.... and 1 are not distinct, they are the same #. Between any two real numbers, there are actually an infinite number of other rational numbers (and reals too).
I typed the proof out in Mathematica so it'd be easier to see:
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I don't follow how you go to the Sum from 0 to infinity of X raised to the power of n is equal to 1/1-x.
I see that x =.9 and you bring it over as a constant
but why is that all dependant upon X being less than 1?