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  "body": "\n## Summary\n\nAn indeterminate form is a type of [[limit|0TXTSEMHR5]] where the limits of the parts do not determine the limit of the whole.\nThe seven common forms are $0/0$, $\\infty/\\infty$, $0 \\cdot \\infty$, $\\infty - \\infty$, $0^0$, $1^{\\infty}$, and $\\infty^0$.\n\n## Remarks\n\nFor example, $x \\to 0$ and $x^2 \\to 0$, but $x^2/x \\to 0$, $x/x \\to 1$, and $x/x^2$ has no finite limit. All three are of the form $0/0$.\n[[L'Hôpital's rule|0JWT4PPQ7B]] treats the forms $0/0$ and $\\infty/\\infty$. Logarithms turn the forms $0^0$, $1^{\\infty}$, and $\\infty^0$ into the form $0 \\cdot \\infty$.\nForms such as $1/0^+$ and $0^{\\infty}$ are not indeterminate.\n\n## Explanations\n\n### L1 human\n\nSome limits cannot be found by plugging in the limits of the parts.\nThen a finer analysis is needed, because many different answers are possible.\n",
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  "name": "Indeterminate form",
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