Approximating the Sum of Infinite Series of Non Negative Terms with reference to Integral Test

Authors

  • Daya Ram Paudyal Birendra Multiple Campus, Tribhuvan University, Kathmandu

DOI:

https://doi.org/10.3126/nmsr.v37i1-2.34092

Keywords:

Convergence, Decreasing, Innite series, Partial Sum

Abstract

This paper describes a method of obtaining approximate sum of infinite series of positive terms by using integrals under its historical background. It has shown the application of improper integrals to determine whether the given innate series is convergent or divergent. Here, the limits of the integrals and the series usually extend to infinity though they may be slowly convergent. We have also established a relation to approximate the sum of infinite series of positive terms with a suitable example.

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Published

2020-12-31

How to Cite

Paudyal, D. R. (2020). Approximating the Sum of Infinite Series of Non Negative Terms with reference to Integral Test. The Nepali Mathematical Sciences Report, 37(1-2), 63–70. https://doi.org/10.3126/nmsr.v37i1-2.34092

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Articles