Worksheet 6.5 L'Hopital'S Rule And Indeterminate Forms Math Worksheet Page 4

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WS 6.5: L’Hôpital’s Rule & Indet. forms
Calculus Maximus
Free Response
Find the following limits. Show all work and use L’Hopital’s Rule whenever possible. Express your answer
in exact form. For example, if the value of the limit is
do not write 3.14
arctan
1
2
x
2
10.
lim
11.
lim
12.
lim
 
 
2
sin(
)
sin(
x
)
0
x
1
y
1
 
13.
lim sin
14.
lim
cot(2 )
15.
lim
y
ln

z
y
1
0
y
z
t
3
3
1
x
16.
lim
x e
17.
lim 1
18.
lim ln
w
w


t
x
0
t
w
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