At the end of class I started an application of the binomial theorem, with the the aim of obtinaing a series expenasion for 'e'. I realized this is actually more complcated than I planned. You can read about it here

https://paramanands.blogspot.com/2014/05/theories-of-exponential-and-logarithmic-functions-part-2_10.html#.ZBLb_Z9BxaQ

What I wanted to show in class was equation (4) with x=1. That is

e = 1 + 1/2! + 1/3! + 1/4! + ...

There are many wrong proofs of this on the internet.

I will expain what the basic difficulty is in class next time.


Viimeksi muutettu: torstaina 16. maaliskuuta 2023, 11.27