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Don't capitalize merely because it's the first letter of a link; the first letter, unlike the later letters, is not case-sensitive. |
→List of indeterminate forms: merge in progress |
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==List of indeterminate forms==
{| border=1 style="border: 1px solid #000; background-color: #ffffff; width: 85%;"
:<math>\infty/\infty\,</math>▼
|'''Form'''
|'''Conditions'''
:<math>0\cdot\infty\,</math>▼
|'''Transformation'''
|-
:<math>1^\infty\,</math>▼
|<math>f(x)\rarr\infty</math>, <math>g(x)\rarr\plusmin\infty</math>
|''none needed''
|-
|<math>f(x)\rarr 0</math>, <math>g(x)\rarr\infty</math>
|<math>\lim \frac{f(x)}{1/g(x)}</math>
|-
|<math>\lim f(x)^{g(x)}</math>
|<math>f(x)\rarr 1</math>, <math>g(x)\rarr\infty</math>
|<math>e^{\lim \frac{g(x)}{1/\ln f(x)}}</math>
|-
|<math>\lim f(x)^{g(x)}</math>
|<math>f(x)\rarr 0</math>, <math>g(x)\rarr 0</math> [http://www.faqs.org/faqs/sci-math-faq/specialnumbers/0to0/]
|-
|<math>\lim f(x)^{g(x)}</math>
|<math>f(x)\rarr\infty</math>, <math>g(x)\rarr 0</math>
|<math>e^{f(x)/(1/\ln g(x))}</math>
|-
|<math>\lim f(x)-{g(x)}</math>
|<math>f(x)\rarr\infty</math>, <math>g(x)\rarr\infty</math>
|<math>\ln (\lim e^{f(x)}/e^{g(x)})</math>
|-
|}
:<math>0^0\,</math> [http://www.faqs.org/faqs/sci-math-faq/specialnumbers/0to0/]
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