Careless computer has the limit of mathematics

Recently work with two computers , two computers with TeamViewer interconnection . A remote B, suddenly the hands of the cheap in b remote a . So the interesting phenomenon came out .

AB Two PC screens are like two parallel mirrors to see each other . 1.1-point change . The principle of this phenomenon is very simple, but the real time to see it is still small excited a bit.

This reminds me of a nature of the natural number e , and the exponent of E has a property that its derivative is its own. Then the inference is very interesting.

I use power (e,x) to represent the exponent of e , using dpower (e,x) to represent the derivative of the exponent of e .

If dpower (e,x) = 1, then power (e,x) = 1 + x

If dpower (e,x) = 1 + x, then power (e,x) = 1 + x + * x^2

If dpower (e,x) = 1 + x + x^2 *, then power (e,x) = 1 + x + 1/2* x^2 + * * 1/3 * x^3

If dpower (e,x) = 1 + x + 1/2* x^2 + * 1/3 * x^3, then power (e,x) = 1 + x + 1/2* x^2 + $ * 1/3 * x^3 + 1/2 * 1/3 * x^4

With this infinite push, we get the e^x definition formula.

When I first met the natural number e in high school, I don't know why the Western ancient people created this strange figure in order to build something, the derivative of this thing is itself.

Careless computer has the limit of mathematics