Euler's number is the value of the exponential function, approximately . It is the base of the natural logarithm. Its factorial-series tail gives an elementary proof of the irrationality of e. The compounding limit for e shows how the same constant arises from repeated small multiplications.
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The mathematical constant \( e \) is approximately equal to 2.71828 and is the base of the natural logarithm. It is an important constant in mathematics, particularly in calculus and complex analysis, because it has many interesting properties.