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  "body": "\n## Definition\n\nLet $D \\subseteq \\mathbb{R}$, let $f \\colon D \\to \\mathbb{R}$, and let $a$ be a limit point of $D$.\nThe notation $f(x) \\to +\\infty$ as $x \\to a$ means that for each real $M$ there is $\\delta \u003e 0$ with $f(x) \u003e M$ for all $x \\in D$ with $0 \u003c |x - a| \u003c \\delta$.\nThe definition of $f(x) \\to -\\infty$ is the same, with $f(x) \u003c M$.\n\n## Remarks\n\nAn infinite limit is not a limit in the sense of [[limit of a function|0TXTSEMHR5]], which requires a real value $L$.\nFor example, $1/x^2 \\to +\\infty$ as $x \\to 0$.\nThe same idea gives $f(x) \\to +\\infty$ as $x \\to +\\infty$. An example is $f(x) = x^2$.\n\n## Explanations\n\n### L1 human\n\nAn infinite limit means that $f(x)$ becomes as large as we like when $x$ is close to $a$.\nThe graph then has a vertical asymptote at $x = a$.\n",
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