Mathematical Paradox: Is 0.999... really equal to 1?

In mathematics, the repeating decimal 0.999… denotes a real number that can be shown to be the number one. In other words, the symbols "0.999…" and "1" represent the same number. Proofs of this equality have been formulated with varying degrees of mathematical rigor, taking into account preferred development of the real numbers, background assumptions, historical context, and target audience.

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