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The Role of Infinity with Signs in Mathematics

Received: 28 December 2012    Accepted:     Published: 30 May 2013
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Abstract

The article shows the significance of signs +∞ and -∞ (infinity with signs) for a full exposition of some of the problematic materials in mathematics. With its help smoothness of the curve, specified by functions with finite and infinite derivatives at the points, is determined. The properties of the function f, with which you can set the smoothness of the curve Γ:y=f(x),xϵ[a;b], are indicated.

DOI 10.11648/j.edu.20130203.12
Published in Education Journal (Volume 2, Issue 3, May 2013)
Page(s) 72-76
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Limit, Derivative, Smooth Curve, Infinite Derivative, Tangent, Angular Function

References
[1] S.M. Nikolskyi. Course of Mathematical Analysis, Volume 1, "Science", 1983.
[2] E.Zh. Aydos. Higher mathematics-2, "Bastau", Almaty, 2010.
Author Information
  • Kazakh National Technical University after K.I.Satpaev, Almaty, Kazakhstan

  • Kazakh British Technical University, International School of Economics and political Sciences

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    Erkara Aydos Zh., Raushan Kadyrova S. (2013). The Role of Infinity with Signs in Mathematics. Education Journal, 2(3), 72-76. https://doi.org/10.11648/j.edu.20130203.12

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    ACS Style

    Erkara Aydos Zh.; Raushan Kadyrova S. The Role of Infinity with Signs in Mathematics. Educ. J. 2013, 2(3), 72-76. doi: 10.11648/j.edu.20130203.12

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    AMA Style

    Erkara Aydos Zh., Raushan Kadyrova S. The Role of Infinity with Signs in Mathematics. Educ J. 2013;2(3):72-76. doi: 10.11648/j.edu.20130203.12

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  • @article{10.11648/j.edu.20130203.12,
      author = {Erkara Aydos Zh. and Raushan Kadyrova S.},
      title = {The Role of Infinity with Signs in Mathematics},
      journal = {Education Journal},
      volume = {2},
      number = {3},
      pages = {72-76},
      doi = {10.11648/j.edu.20130203.12},
      url = {https://doi.org/10.11648/j.edu.20130203.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.edu.20130203.12},
      abstract = {The article shows the significance of signs +∞ and -∞ (infinity with signs) for a full exposition of some of the problematic materials in mathematics. With its help smoothness of the curve, specified by functions with finite and infinite derivatives at the points, is determined. The properties of the function f, with which you can set the smoothness of the curve Γ:y=f(x),xϵ[a;b], are indicated.},
     year = {2013}
    }
    

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    AB  - The article shows the significance of signs +∞ and -∞ (infinity with signs) for a full exposition of some of the problematic materials in mathematics. With its help smoothness of the curve, specified by functions with finite and infinite derivatives at the points, is determined. The properties of the function f, with which you can set the smoothness of the curve Γ:y=f(x),xϵ[a;b], are indicated.
    VL  - 2
    IS  - 3
    ER  - 

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