What is the Integral of 1/x and its Relationship to ln(x)?

[DivergentSpectrum]

yes. I actually use complex step differentation to calculate that yellow normal vector lol its accurate to all displayed decimal places <3
so do you think that given the Fourier series method of averaging the right and left limit works, and that a Fourier series is basically a sum of exponentials, that would explain why the method of averaging the left and right limit of
lim x^m/m
m→0
works?

 

[lurflurf]

a good trio for e^x under one exponent is
$$(1+h\, x)^{1/h}\\ (1+h\, x+h^2\, x^2)^{1/h}\\ (1+h\, x+h^2\, x^2/2)^{1/h}$$