Calculus pp 247-299 | Cite as


  • Harley Flanders
Part of the Textbooks in Mathematical Sciences book series (TIMS)


This chapter applies calculus to the approximation of numbers, limits, and mainly functions. We begin with a useful application (L’Hospital’s Rule) of differential calculus to limits of what are called “indeterminate forms”. We continue with polynomial approximations to functions, called Taylor approximations. This leads us naturally to the study of sequences and series, with applications to “improper” integrals and to Taylor series. We explore once again numerical estimates of definite integrals.


Infinite Series Geometric Series Positive Term Absolute Convergence Exact Answer 
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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Harley Flanders
    • 1
  1. 1.University of MichiganAnn ArborUSA

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