this post was submitted on 02 Jul 2024
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chapotraphouse

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This little guy craves the light of knowledge and wants to know why 0.999... = 1. He wants rigour, but he does accept proofs starting with any sort of premise.

Enlighten him.

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[–] TheWurstman@hexbear.net 2 points 1 year ago (2 children)

And doesn’t this mean 0.99 approaches 1

[–] Tomorrow_Farewell@hexbear.net 8 points 1 year ago

A real number can't be approaching anything. It is not a function or any other sort of object that can be said to be approaching anything.

[–] dat_math@hexbear.net 4 points 1 year ago (1 children)

No. 0.99 is 0.9+0.09. The proof I gave shows that 0.99999999999999999999999999999999999(...) is equal to 1.