Abstract

In this paper I have studied some characterization of the function γ. As in areas of Mathematics, we need a precise of given problem result in order to be absolutely clear. This paper seeks to do that and introduce new applications to aid our study. Some steps of the solutions to given paper in Basic Mathematics for the Analysis course involve arithmetic calculations that are too complicated to be performed mentally. In this paper I have included three Study Skills Checklists introduced to actively give how effectively use following views. The beginning of the paper has been introduced some properties of having sequences as a complete study this problem. In this instance, I have shown the actual computations that must be made to complete the formal prove. Hence than simply list the steps of arithmetic calculations making no mention of how the numerical values within the graphs are behaved, this unique feature will help answer often given question, from a interesting mathematics, “Is the function γ rational?” Since information is often presented in the form of graphs, I need to be able to give some characterizations of a function of a natural-number argument (a sequence) and natural logarithmic (Napierian logarithms) function displayed in this way. It also serves as a method for the Euler transformations that I can perform immediately to solve the problem in this paper. Henceforth according to l’Hopital’s rule one can easy to solve needing limit.

Highlights

  • Constructive or computational methods have always been a characteristic feature of Analysis

  • The rapid development of new methods led a revival of the constructive methods, which are used to investigate the mathematics structures

  • I shall not be concerned with applications to Mathematics and Analysis, but instead will confine our study to general problem of the function γ

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Summary

Introduction

Constructive or computational methods have always been a characteristic feature of Analysis. In the previous paper I studied about limit theory and I introduced the method of finding them. This paper treats the sequence, the central concept of a function of a natural-number argument (a sequence). I shall not be concerned with applications to Mathematics and Analysis, but instead will confine our study to general problem of the function γ. It discuss briefly a sequence, a function of a natural-number argument (a sequence) and particular the Euler transformation, since these topics involve the solution of given problem. Show by calculations of this limit of given infinity series that as the series is added together term by term the result approximates more and more closely to the remark of the function it represents [1, 3, 5]

Some Preliminaries
Main Results
Conclusion
Full Text
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