Limits At Infinity Math Worksheet 1.3

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Calculus Maximus
WS 1.3: Limits at Infinity
Name_________________________________________ Date________________________ Period______
Worksheet 1.3—Limits at Infinity
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Short Answer:
On problems 1 – 6, find
(a) lim ( )
f x

x
(b) lim
f x
( )

x
(c) the equations of any horizontal or slant asymptotes.
 
3
2
2
3
x
4
x
x
1
4
x
3
x
5
3
x
1
 
 
 
f x
1.
f x
2.
f x
3.
 
 
2
3
x
4
2
x
x
1
x
x
13
2
3
sin 3x
2
x
4
5
x
1
 
 
 
4.
f x
5.
f x
6.
f x
x
4
6
2
2
4
x
8
x
1
3
x
x
4
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