Yes, 0.9999 recurring can be mathematically defined as 1. In fact, in many applications, including aerospace engineering, the specificity of a number is usually used to the 5th decimal place. Anymore than this would usually be supercilious. For example when using pi, 3.14159 is the generally accepted figure to be used.
Here's a fun fact for math nerds, the closest fraction for pi was found to be 355/113. Not 22/7 which was probably used when you were about 9years old to calculate circumference.
So at any rate, 0.9999 can be substituted as 1 in any mathematical circumstance. It can be proved as a proof as Seltzer did or simply by common sense as I have just shown here.
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