Why 0.9999...=1? (using Infinite Geometric series)

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Proof of 0.9999…. = 1 using geometry series. Proof of 0.9999…. = 1 using geometry series.
Proof of "0.999…=1" (It also uses an infinite geometric series.) Proof of "0.999…=1" (It also uses an infinite geometric series.)
Proving 0.999... = 1 by Infinite Geometric Series formula Proving 0.999... = 1 by Infinite Geometric Series formula
I I'm Settling This Math Debate Forever (.99 repeating = 1)
Infinite Geometric Series Infinite Geometric Series
The Truth About 0.9999 = 1. The Truth About 0.9999 = 1.
GOOD Proof that 0.9 Repeating Equals 1 GOOD Proof that 0.9 Repeating Equals 1
.999... = 1. Infinite Geometric Series Proof .999... = 1. Infinite Geometric Series Proof