Continuity and Limit Value of Functions

Authors

  • Dragan Obradovic Teacher, Elementary school Jovan Cvijic, Kostolac-Pozarevac, Teacher of Mathematics, Serbia
  • Lakshmi Narayan Mishra Assistant Professor, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, India
  • Vishnu Narayan Mishra Professor, Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur 484 887, Madhya Pradesh, India

Keywords:

function, limit value, continuity of function, mathematical analysis, mathematical array.

Abstract

Limit value is one of the basic concepts of mathematical analysis. The notion of limit value defines continuity, mathematical derivatives and integrals. The limit value of the sequence and the limit value of the function are different. The limit value describes the number to which the value of the function or the value of the member of the mathematical array weighs, when the argument of the function or the index of the array approaches a value.

References

M. Matijević, Complex functions, Faculty of Mathematics in Belgrade, Belgrade, 2006.

P. Djerasimović, Functions of a Complex Variable Euler Integrals of a Bessel Function, University of Belgrade, Belgrade, 1971.

V. Dajovic, Theory of functions of a complex variable, Scientific work, Belgrade, 1977.

B. Stanković, Theory of functions of a complex variable, University of Novi Sad, Belgrade, 1972.

E. Pap, Collection of solved problems from the theory of functions of a complex variable, Nauchna knjiga, Belgrade, 1976.

V. Rakocevic, Functional Analysis, Scientific Book, Belgrade, 1994.

B. Conway, Functions of a Complex Variable, Springer-Verlag, New York, 1986.

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Published

2021-05-10

Issue

Vol. 10 No. 1 (2021)

Section

Review Article

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