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  "body": "\n## Definition\n\nLet $D \\subseteq \\mathbb{R}$, let $f \\colon D \\to \\mathbb{R}$, and let $a \\in D$ be a limit point of both $D \\cap (-\\infty, a)$ and $D \\cap (a, \\infty)$.\nThe point $a$ is a jump discontinuity of $f$ if both [[one-sided limits|0909PWZR62]] $\\lim_{x \\to a^-} f(x)$ and $\\lim_{x \\to a^+} f(x)$ exist and are different.\n\n## Remarks\n\nThe difference of the two one-sided limits is the size of the jump.\nFor example, the sign function has a jump discontinuity at $0$, of size $2$.\nMonotone functions have only jump discontinuities.\n\n## Explanations\n\n### L1 human\n\nAt a jump discontinuity, the graph approaches one height from the left and another height from the right.\nNo choice of the value at $a$ can repair this.\n",
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