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The Volume of the Unit n-Ball
Harold R. Parks
Vol. 86, No. 4 (October 2013), pp. 270-274
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/math.mag.86.4.270
Page Count: 5
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Summary Two simple proofs are given for the fact that the volume of the unit ball in n-dimensional Euclidean space approaches 0 as n approaches ∞. (Some authors use the term “unit sphere” for what is here called the unit ball.) One argument involves covering the unit ball by simplices. The other argument involves covering the unit ball by rectangular solids.
Copyright the Mathematical Association of America 2013