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  "body": "\n## Definition\n\nLet $f$ and $g$ be real functions defined on an interval $[x_0, \\infty)$.\nThe notation $f(x) = o(g(x))$ as $x \\to \\infty$ means that for each $\\varepsilon \u003e 0$ there is $x_1 \\ge x_0$ with\n$$|f(x)| \\le \\varepsilon |g(x)| \\quad \\text{for all } x \\ge x_1.$$\n\n## Remarks\n\nIf $g(x) \\ne 0$ for large $x$, then $f = o(g)$ means that $f(x)/g(x) \\to 0$.\nEach $f = o(g)$ is also $f = O(g)$, in the sense of [[big O notation|0RYTGBJAGN]].\nFor example, $x = o(x^2)$ and $\\ln x = o(x)$ as $x \\to \\infty$.\nMathlib defines it for filters, as `Asymptotics.IsLittleO`.\n\n## Explanations\n\n### L1 human\n\nThe statement $f = o(g)$ says that $f$ becomes negligible compared with $g$.\nEach fixed fraction of $|g|$ eventually exceeds $|f|$.\n",
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