How to discover the exponential function x e

Bhatnagar, Gaurav (2017) How to discover the exponential function x e. At Right Angles, 6 (3). 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
Uncontrolled Keywords: Power series, Derivative, Polynomial, Irrational number
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University publications > At Right Angles
Depositing User: Mr. Sachin Tirlapur
Date Deposited: 14 Sep 2018 13:40
Last Modified: 25 Sep 2018 12:57
URI: http://publications.azimpremjifoundation.org/id/eprint/1278
Publisher URL: http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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