Tuesday, November 1
−
Lecture 21:
Indeterminate forms and l’Hôpital’s rule
(Refers to Section 4.5 in your text)
Students who have mastered the content of this lecture know about
:
L’Hôpital’s rule.
Students who have practiced the techniques presented in this lecture will be able to
:
Recognize
correctly the type of limit problems where l’Hôpital’s rule can be applied and then use l’Hôpital’s rule
correctly on these limit problems, solve limits with indeterminate forms
0/0
,
∞
/
∞
,
∞
0
,
1
∞
,
0
⋅∞
,
0
0
,
∞
−
∞.
21.1
Definition
Suppose we have two functions
f
(
x
) and
g
(
x
) such that
Then we say the limit expression
is of
indeterminate form
“0/0”.
Suppose we have two functions
f
(
x
) and
g
(
x
) such that
Then we say the limit expression
is of
indeterminate form
“
∞
/
∞
”.
In such cases there is a method we can use to compute the limit of these indeterminate
forms. It is called
l’Hôpital’s rule
.
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 Spring '11
 RobertAndre
 Calculus, Limit, Limit of a function, Defined and undefined, L’Hopital’s Rule, CMVT

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