Euler number formula |
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| \(\large{ e = lim_{n \to \infty} \left( 1 + \frac{1}{x} \right)^x = 2.7182818284590452353602874713527 ... }\) | ||
| Symbol | English | Metric |
| \( e \) = Euler's number | \(dimensionless\) | \(dimensionless\) |
Euler’s number, abbreviated as \(e\), a dimensionless number, also called Napier's constant, is a fundamental mathematical constant approximately equal to 2.71828.... . It serves as the base of the natural logarithm and is one of the most important numbers in mathematics, appearing in a wide variety of contexts across pure mathematics, calculus, probability, complex analysis, and applied fields such as physics, engineering, and finance. The number \(e\) is irrational (it cannot be expressed as a fraction of integers) and transcendental (it is not the root of any non-zero polynomial with rational coefficients). This makes \(e\) one of the most important constants in mathematics, alongside numbers like \(\pi\).
