How to discover the exponential function x e

Bhatnagar, Gaurav (2017) How to discover the exponential function x e. At Right Angles, 6 (3). pp. 09-13.

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Abstract

If a function is such that its derivative is the function itself,then what would it be? Some interesting mathematical objects appear while trying to answer this question, including a power series, the irrational number e and the exponential function e x . The article ends with a beautiful √ formula that connects e, π, the complex number i = − 1, 1 and 0.

Item Type:	Articles in APF Magazines
Authors:	Bhatnagar, Gaurav
Document Language:	Language English
Uncontrolled Keywords:	Power series, Derivative, Polynomial, Irrational number
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/1278
Publisher URL:	http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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