Dedekind Cut : “Prove 0.9999… = 1”

Math Online Tom Circle

Key Notes:

  1. Rational Numbers Q eg. 1/2, … Complete but non Continuous.
  2. Irrational numbers eg. $latex sqrt {2}$
  3. Real number is Complete and Continuous
  4. Dedekind Cut

The Proof of “0.999… = 1” by using Set Theory :

$latex A subset B$
$latex B subset C$
$latex implies A = B $

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Author: tomcircle

Math amateur

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