8. The Concept of Continuity of a Function, and Points of Discontinuity

  1. Ulrich L. Rohde1,2,
  2. G. C. Jain3,
  3. Ajay K. Poddar2 and
  4. A. K. Ghosh4

Published Online: 28 DEC 2011

DOI: 10.1002/9781118130155.ch8

Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners

Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners

How to Cite

Rohde, U. L., Jain, G. C., Poddar, A. K. and Ghosh, A. K. (2011) The Concept of Continuity of a Function, and Points of Discontinuity, in Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118130155.ch8

Author Information

  1. 1

    BTU Cottbus, Germany

  2. 2

    Synergy Microwave Corporation, Paterson, NJ, USA

  3. 3

    Defense Research & Development Organization, Maharashtra, India

  4. 4

    Department of Aerospace Engineering, Indian Institute of Technology – Kanpur, Kanpur, India

Publication History

  1. Published Online: 28 DEC 2011
  2. Published Print: 9 DEC 2011

ISBN Information

Print ISBN: 9781118117750

Online ISBN: 9781118130155

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Keywords:

  • concept of continuity and graphical intuition;
  • point of discontinuity of function;
  • continuity of function check, trigonometric, exponential

Summary

This chapter contains sections titled:

  • Introduction

  • Developing the Definition of Continuity “At a Point”

  • Classification of the Points of Discontinuity: Types of Discontinuities

  • Checking Continuity of Functions Involving Trigonometric, Exponential, and Logarithmic Functions

  • From One-Sided Limit to One-Sided Continuity and its Applications

  • Continuity on an Interval

  • Properties of Continuous Functions