CALCULUS Understanding
Its Concepts and Methods
CALCULUS Understanding
Its Concepts and Methods
Indeterminate forms
Certain expressions, called indeterminate
forms, must be treated only as symbolic unless special techniques are
applied. The most common such expression is
,
which has no predetermined meaning, as division by zero is not a meaningful
operation in arithmetic.
There are seven indeterminate forms involving
,
,
and
:
A
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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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.