AP Calculus AB
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08/10/22 Perkins AP Calculus AB Day 5 Section 8.7
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AP Calculus AB. Day 5 Section 8.7. L’Hopital’s Rule. Indeterminant Forms. An indeterminant form, but not L’Hopital’s form. AP Calculus AB. Day 5 Section 8.7. L’Hopital’s Rule. - PowerPoint PPT Presentation
Transcript of AP Calculus AB
04/19/23 Perkins
AP Calculus AB
Day 5Section 8.7
0If lim or , then lim
0x c x c
f x f x
g x g x
L’Hopital’s Rule
Indeterminant Forms
'lim
'x c
f x
g x
2
1
2 21. lim
1x
x
x
0
0
. .DS1
4lim
1x
x
4. .DS
2
2
3 12. lim
2 1x
x
x
. .DS
6lim
4x
x
x
6lim
4x
3
2
2
0
13. lim
x
x
e
x
0
0
. .DS
2
0
2lim
1
x
x
e
2. .DS
ln4. lim
x
x
x
. .DS
1
lim1x
x
1
limx x
. .DS
0
2
5. limxx
x
e
. .DS
2lim
xx
x
e
. .DS
6. lim x
xe x
0
. .DS
2lim
xx e
. .DS
2
0
An indeterminant form, but not L’Hopital’s form.
limxx
x
e
. .DS
121
2limxx
x
e
. .DS
1
0
12
1lim
2 xx e x
Perkins
AP Calculus AB
Day 5Section 8.7
0If lim or , then lim
0x c x c
f x f x
g x g x
L’Hopital’s Rule
2
1
2 21. lim
1x
x
x
2
2
3 12. lim
2 1x
x
x
2
0
13. lim
x
x
e
x
ln4. lim
x
x
x
2
5. limxx
x
e
6. lim x
xe x
