Is .999 Repeating Equal to 1?: The Proof Behind the Infamous Debate

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The discussion centers on the mathematical proof that 0.999... (repeating) is equal to 1. Participants explore various approaches, including the use of limits and infinite series, to demonstrate this equality. They emphasize that defining 0.999... requires an understanding of decimal expansions and limits, rather than relying on the concept of infinity itself. Several informal proofs are shared, highlighting the logical contradictions that arise when assuming a difference between the two values. Ultimately, the consensus is that with proper definitions and mathematical reasoning, 0.999... can be shown to equal 1.
  • #91
Since we have exhausted this thread topic to death and are in the infinitesimal stage of ending the discussion, I feel it's a good time to close it.

Thank you all for participating here.

Jedi
 
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