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Article on the Application of Stolz–Cesàro Theorem in alternative proof and problem solving
Etisha Sharma1 , Toyesh Prakash Sharma2
Section:Research Paper, Product Type: Journal-Paper
Vol.10 ,
Issue.6 , pp.18-25, Dec-2023
Online published on Dec 31, 2023
Copyright © Etisha Sharma, Toyesh Prakash Sharma . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Etisha Sharma, Toyesh Prakash Sharma, “Article on the Application of Stolz–Cesàro Theorem in alternative proof and problem solving,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.10, Issue.6, pp.18-25, 2023.
MLA Style Citation: Etisha Sharma, Toyesh Prakash Sharma "Article on the Application of Stolz–Cesàro Theorem in alternative proof and problem solving." International Journal of Scientific Research in Mathematical and Statistical Sciences 10.6 (2023): 18-25.
APA Style Citation: Etisha Sharma, Toyesh Prakash Sharma, (2023). Article on the Application of Stolz–Cesàro Theorem in alternative proof and problem solving. International Journal of Scientific Research in Mathematical and Statistical Sciences, 10(6), 18-25.
BibTex Style Citation:
@article{Sharma_2023,
author = {Etisha Sharma, Toyesh Prakash Sharma},
title = {Article on the Application of Stolz–Cesàro Theorem in alternative proof and problem solving},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2023},
volume = {10},
Issue = {6},
month = {12},
year = {2023},
issn = {2347-2693},
pages = {18-25},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3357},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3357
TI - Article on the Application of Stolz–Cesàro Theorem in alternative proof and problem solving
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Etisha Sharma, Toyesh Prakash Sharma
PY - 2023
DA - 2023/12/31
PB - IJCSE, Indore, INDIA
SP - 18-25
IS - 6
VL - 10
SN - 2347-2693
ER -
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Abstract :
As it is mentioned in the title that through this article, we will deal with various problems based on classic analysis result called Stolz–Cesàro result. Under the title we have approach two aspects of this result, the first aspects deal with the alternative proof of well-known theorem or result such as Cauchy limit of first kind, Cauchy limit of second kind, etc. while the second aspects deal with problem based on this result. Further at the end there is a section for readers to solve the problem and simplifying them.
Key-Words / Index Term :
Stolz–Cesàro result, Cauchy limit of first kind, Cauchy limit of second kind, etc.
References :
[1]. Taylor, A. E., “L`Hospital`s rule,” Amer. Math. Monthly, Vol.59, Issue 1, pp.20-24, 1952.
[2]. Stolz, Otto, "Ueber die Grenzwerthe der Quotienten" Mathematische Annalen, Vol.15, Issue 3-4, pp.556-559, 1879.
[3]. D.M. Batinetu-Giurgiu and N. Stanciu : Problem UP.328 , Romanian Mathematical Magazine, Anul XXIV (Seria a IVa), Fall, p. 91. 2021.
[4]. D.M. Batinetu-Giurgiu, N. Stanciu : Problem 5580, Problem Corner, SSMJ, Feb.,p.1, 2020.
[5]. D.M. Batinetu-Giurgiu ,“UP 31” RMM (Romanian Mathematical Magazine) RMM summer edition -, p.7, 2023.
[6]. Goran Conar, Problem 5633, Problem corner, SSMJ, 10th vol. pp.4, 2021
[7]. D.M. Batinetu-Giurgiu, N. Stanciu : Problem 5656, Problem corner, SSMJ, p.1, 2021.
[8]. Toyesh Prakash Sharma, U542, Undergraduate Problem, Problem corner, Mathematical Reflections, Issue 1, pp.3, 2021.
[9]. D.M. Batinetu-Giurgiu, Neculai Stanciu, Problem 855, Problem section, Pentagon, Kappa Mu epsilon Vol.80, No.1, pp.27, 2020.
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