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  "body": "\n## Definition\n\nLet $I$ be an open interval with $0 \\in I$, and let $f \\colon I \\to \\mathbb{R}$ be smooth.\nThe Maclaurin series of $f$ is its [[Taylor series|0225QPWRRE]] at $0$:\n$$\\sum_{n=0}^{\\infty} \\frac{f^{(n)}(0)}{n!} x^n.$$\n\n## Remarks\n\nFor example, the Maclaurin series of $e^x$ is $\\sum x^n / n!$, and the one of $1/(1 - x)$ is $\\sum x^n$.\nThe series is named after Colin Maclaurin.\n\n## Explanations\n\n### L1 human\n\nA Maclaurin series is a Taylor series centered at $0$.\n",
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