CALCULUS Understanding
Its Concepts and Methods
l'Hôpital's rule
l'Hôpital's rule is a method for finding the limit of a quotient whose numerator and denominator both tend to zero or both tend to infinity.
If
f
and
g
are functions that are differentiable at
a,
and
f(a) = g(a) = 0,
then
provided
that the limit on the right exists.
If
f
and
g are functions that are
differentiable and if
and
,
then
provided
that the limit on the right exists.
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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.