On infinitely small and infinitely large quantities, and on the continuity of functions. Singular values of functions in various particular cases.

  • Robert E. Bradley
  • C. Edward Sandifer
Part of the Sources and Studies in the History of Mathematics and Physical Sciences book series (SHMP)

[37] We say that a variable quantity becomes infinitely small when its numerical value decreases indefinitely in such a way as to converge towards the limit zero. It is worth remarking on this point that one ought not confuse a constant decrease with an indefinite decrease. The area of a regular polygon circumscribed about a given circle decreases constantly as the number of sides increases, but not indefinitely, because it has as its limit the area of the circle.


Variable Quantity Integer Number Regular Polygon Respective Limit Side Increase 
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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceAdelphi UniversityGarden CityUSA
  2. 2.Department of MathematicsWestern Connecticut State UniversityDanburyUSA

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