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Indeterminate forms

Certain expressions, called indeterminate forms, must be treated only as symbolic unless special techniques are applied. The most common such expression is $0/0$, which has no predetermined meaning, as division by zero is not a meaningful operation in arithmetic.

There are seven indeterminate forms involving $0$, $1$, and $\infty $:MATHA limit is said to be indeterminate when merely knowing the limiting behavior of individual parts of the expression is not sufficient to determine the actual overall limit. l'Hôpital's rule, together with some algebraic manipulation, provides methods for computing limits that appear in one of these forms.


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l'Hôpital's rule


Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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