How to prove that 0.999...=1

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Proof that 0.999...=1 using infinite geometric series.
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How to demonstrate that things are not so simple as shown.

0.999... < 1?

0.999...(10) is the same as 0.111...(2). Please check if you do not believe me

It is an interesting question as to if 0b or 1b is actually 'the closest' to 0.111...(2), even at Infinity

Progress happens all of the time

richardlinsley-hood
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Well done, my fellow mathematician.

Keep up the good work.

كابوريه
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Just convert to a fraction and there is a simple 7th grade proof

yaunnieperalta