Approximation of the Series $\sum\limits_{n=1}^{\infty} \frac{(-1)^{n-1}}{4 n-3}$

Kumari Sreeja S Nair1

1Department of Mathematics, Government Arts College, Kariavattom, Thiruvananthapuram, Kerala.

Abstract: In this paper we give a rational approximation to an alternating series, by applying a correction function to the series. The introduction of correction function certainly improves the value of sum of the series and gives a better approximation to it.
Keywords: Correction function, error function, remainder term, rational approximation.

Cite this article as: Kumari Sreeja S Nair, Approximation of the Series $\sum\limits_{n=1}^{\infty} \frac{(-1)^{n-1}}{4 n-3}$, Int. J. Math. And Appl., vol. 9, no. 4, 2021, pp. 89-90.

  1. Konrad Knopp, Theory and Application of Infinite series, Courier Corporation, (1990).
  2. G. H. Hardy, A Course of Pure Mathematics, Cambridge University Press, (1908).
  3. K. Knopp, Infinite sequences and series, Dover, (1956).