>>239
おっちゃん、どうも。スレ主です。

>何らかの積分を構成して2つの相反する大小関係から矛盾に導いて示すことになる。

ああ、いまちらっと見た下記がそうだったね。この板では、積分記号が扱えないから、引用しないけど
https://en.wikipedia.org/wiki/Transcendental_number
Sketch of a proof that e is transcendental

The first proof that the base of the natural logarithms, e, is transcendental dates from 1873. We will now follow the strategy of David Hilbert (1862?1943) who gave a simplification of the original proof of Charles Hermite. The idea is the following:

Assume, for purpose of finding a contradiction, that e is algebraic. Then there exists a finite set of integer coefficients c0, c1, ..., cn satisfying the equation:

おっちゃん、本格的やね！（＾＾；