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Calculating sums of infinite series

Miha Krašna (2018) Calculating sums of infinite series. Diploma thesis.

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    In the first part of this bachelor thesis, some basic concepts related to numerical series as well as the basic definition of numerical, geometric, harmonic, hyper-harmonic and alternating series are presented. Also, some necessary theorems are listed and a limit comparison test, ratio test and integral test for identifying convergence of some numerical series are presented. In the second part, the focus is on evaluating the mistake when estimating the sum of a series with positive terms. We show that the limit comparison test, ratio test and integral test can be used to find both lower and upper estimates for the sum of a series.

    Item Type: Thesis (Diploma thesis)
    Keywords: infinite series, alternating series, limit comparison test, ratio test, integral test
    Number of Pages: 23
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    izr. prof. dr. Marko SlaparMentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=12111433)
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 5267
    Date Deposited: 03 Sep 2018 12:40
    Last Modified: 03 Sep 2018 12:40
    URI: http://pefprints.pef.uni-lj.si/id/eprint/5267

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