MODIFICATION IN φ-METHOD TO FIND OBLIQUE ASYMPTOTES OF AN ALGEBRAIC CURVE 


By

Anil Maheshwari and Adarsh Mangal 

Engineering College Ajmer, Rajasthan, India-305001 

Email: anil.knowledge@gmail.com, dradarshmangal1@gmail.com 

(Received: February 15, 2024; In format: March 02, 2024; Revised: March 28, 2024; Accepted: April 05, 2024) 


DOI: https://doi.org/10.58250/jnanabha.2024.54115 


 

Abstract

Asymptote is a vital phenomenon in the field of Curve Tracing and allied subjects. Asymptotes for algebraic curve can be classified into two types, viz., Parallel and Oblique Asymptotes. Our main focus in this paper is to identify the limitations of φ - method, where it fails. The modification of this limitation is described in this paper that how one can modify the existing method to our proposed method. Some numerical examples are being presented here to validate our claim. 


2020 Mathematical Sciences Classification: 97I40. 

Keywords and Phrases: Oblique asymptotes, φ - Method, Algebraic curve.  

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