Limits At Infinity Functions Worksheet With Answer
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1
2Calculus 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
− x − 1
−
+
+
3x
( )
4
x
3
x
5
3
x
1
( )
( )
=
=
=
1. f x
2.
3.
f x
f x
3
−
2
+ 3
+ −
x
4
x
2
x
x
1
−
2
+
3
+
sin 3x
2
x
4
5
x
1
( )
( )
( )
=
=
=
4.
5.
6.
f x
f x
f x
x
4
6
2
2
+
+
+
+
4
x
8
x
1
3
x
x
4
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