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  "body": "\n## Description\n\nThe number $e$ is the value of the [[exponential function|0RMVS7RXZX]] at $1$:\n$$e = \\exp(1) = \\sum_{n=0}^{\\infty} \\frac{1}{n!} \\approx 2.718281828.$$\nIt is also the limit $e = \\lim_{n \\to \\infty} \\left(1 + \\frac{1}{n}\\right)^n$.\nIt is the base of the natural logarithm, so $\\ln e = 1$.\n\n## Remarks\n\nThe series is the [[sum of the reciprocals of the factorials|0G4D3ZKTP8]].\nThe number $e$ is [[irrational|0W4GQSG7B6]]. Charles Hermite proved in 1873 that it is transcendental.\nJacob Bernoulli introduced the constant in 1683, in a problem of continuous compound interest. Leonhard Euler began to use the letter $e$ for it.\n\n## Explanations\n\n### L1 human\n\nThe number $e$ is about $2.718$. It is the natural base for exponential growth.\nAn amount that grows by $100\\%$ per year, compounded continuously, becomes $e$ times larger in one year.\n",
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