Difference between revisions of "Indeterminate form"
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| − | An '''indeterminate form''' is an expression in [[calculus]] obtained from calculating the limit of a function, and whose numerical value is not able to be determined. However, the limit of such a function can often be determined using a technique such as [[L'Hôpital's Rule]]. | + | An '''indeterminate form''' is an expression in [[calculus]] obtained from calculating the limit of a [[function]], and whose numerical value is not able to be determined. However, the limit of such a function can often be determined using a technique such as [[L'Hôpital's Rule]]. |
Basic indeterminate forms for limits: | Basic indeterminate forms for limits: | ||
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<math>{\infty^0\qquad 1^\infty\qquad 0\cdot\infty\qquad 0^0\qquad\infty - \infty\qquad}</math> | <math>{\infty^0\qquad 1^\infty\qquad 0\cdot\infty\qquad 0^0\qquad\infty - \infty\qquad}</math> | ||
| − | [[ | + | [[Category:Mathematics]] |
Latest revision as of 14:18, July 13, 2016
An indeterminate form is an expression in calculus obtained from calculating the limit of a function, and whose numerical value is not able to be determined. However, the limit of such a function can often be determined using a technique such as L'Hôpital's Rule.
Basic indeterminate forms for limits:
<math>{0\over 0}\qquad {\infty\over\infty}</math>
Other indeterminate forms for limits, that can usually be simplified into the basic forms when the original problem is manipulated:
<math>{\infty^0\qquad 1^\infty\qquad 0\cdot\infty\qquad 0^0\qquad\infty - \infty\qquad}</math>