Difference between revisions of "Indeterminate form"

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(might be easier to have on a seperate page - could use improvement though...)
 
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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>
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[[category:mathematics]]

Revision as of 12:47, March 27, 2008

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>