Calculus Maximus WS 1.3: Limits at Infinity
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Worksheet 1.3—Limits at Infinity
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Short Answer:
On problems 1 – 6, find
(a)
lim ( )
x
fx
→∞
(b)
lim ( )
x
fx
→−∞
(c) the equations of any horizontal or slant asymptotes.
1.
f x
( )
=3x3−x−1
x2+3
2.
( )
2
3
435
21
xx
fx xx
−+
=
+−
3.
( )
31
4
x
fx x
+
=−
4.
( )
sin 3x
fx x
=
5.
( )
2
42
24
481
x
fx
xx
−+
=
++
6.
( )
3
62
51
34
x
fx
xx
+
=
++
