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Eulers number Approx x^2.31
Euler published the formula, which relates complex exponentials to trigonometric functions in 1748. See related link.
I think the following Wikipedia link on Fourier Series (see related links below), has the information that you're looking for.
between what two square root of integers is Eulers number
It is approximately Euler's constant.The "true" value can be obtained from the infinite sum:e = 1 + 1/1! + 1/2! + 1/3! + 1/4! + ...where n! denotes 1*2*3*...*n.