Abstract
We give a new proof of Euler’s famous formula using a 1954 result by M. O. González which expands the complete elliptic integral of the first kind in terms of Legendre polynomials.
MSC:
Acknowledgment
We are grateful for Editorial/Reviewer feedback that has been provided and that has greatly improved the exposition and structure of this note.
Notes
1 See https://mathworld.wolfram.com/MaclaurinSeries.html, for example.