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Differentiation 1

  • C W Celia
  • A T F Nice
  • K F Elliott
Chapter

Abstract

Let n denote a positive integer. The larger the value of n, the smaller will be the value of 1/n. If we keep on increasing n, then 1/n will tend to zero. We express this by saying that ‘as n tends to infinity, 1/n tends to the limit zero’. Note that infinity, which is represented by the symbol ∞, is not a number. The statement ‘n tends to infinity’ is just a brief way of saying that n increases without there being any ceiling to its value. Note also that while 1/n gets closer and closer to zero, it never reaches zero.

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Copyright information

© C. W. Celia, A. T. F. Nice & K. F. Elliott 1980

Authors and Affiliations

  • C W Celia
    • 1
  • A T F Nice
    • 2
    • 3
  • K F Elliott
    • 4
  1. 1.City of London PolytechnicUK
  2. 2.Mathematics DepartmentLady Eleanor Holles SchoolHamptonUK
  3. 3.Middlesex PolytechnicUK
  4. 4.Derby Lonsdale College of Higher EducationUK

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