Functions and Analysis

   

General Method for Summing Divergent Series. Determination of Limits of Divergent Sequences and Functions in Singular Points

Authors: Sinisa Bubonja

In this work I am going to mention historical development of divergent series theory, and to give a number of different examples, as some of the methods for their summing. After that, I am going to introduce the general method, which I discovered, for summing divergent series, which we can also consider as a method for computing limits of divergent sequences and functions in divergent points, In this case, limits of sequences of their partials sums. Through the exercises, I am going to apply this method on given examples and prove its validity. Then I'm going to apply the method to compute the value of some divergent integrals.

Comments: 20 Pages. Serbian language, Title of paper in translation from Serbian to English changed, Corrected typos, Revised definitions and added example in section 4, results unchanged

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Submission history

[v1] 2015-02-10 07:53:24
[v2] 2015-02-14 07:41:19

Unique-IP document downloads: 427 times

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