EXERCÍCIOS DE LIMITES INDETERMINADOS

Prévia do material em texto

UNICEPLAC
LISTA DE EXERCICIOS LIMITES INDETERMINADOS 
CÁLCULO DIFERENCIAL 2º/2020
Flávia de O. Carvalho
1. Obtenha os limites:
a) 
3
9
lim
2
3
-
-
®
x
x
x
 
b) 
2
5
25
5
lim
x
x
x
-
-
®
 
c) 
x
x
x
x
-
®
2
3
0
2
lim
 
d) 
2
8
lim
3
2
-
-
®
x
x
x
 
e) 
1
3
4
lim
3
2
1
-
+
-
®
x
x
x
x
f) 
2
3
3
lim
2
3
2
3
1
+
-
-
-
+
-
®
x
x
x
x
x
x
g) 
5
8
4
4
6
3
lim
2
3
2
3
1
-
+
-
-
+
-
®
x
x
x
x
x
x
x
h) 
3
4
2
3
lim
4
3
1
+
-
+
-
®
x
x
x
x
x
i) 
8
12
2
7
2
4
12
5
2
lim
2
3
4
2
3
4
2
-
-
+
+
-
-
-
+
-
®
x
x
x
x
x
x
x
x
x
J) 
1
1
2
lim
1
-
+
-
®
x
x
x
x
K)
=
-
-
-
+¥
®
)
1
2
3
5
(
lim
2
3
x
x
x
x
L) 
=
-
+
-
-¥
®
)
1
2
2
(
lim
2
4
5
x
x
x
x
M)
=
-
+
-
-¥
®
)
1
2
3
(
lim
2
4
x
x
x
N)
=
+
+
+¥
®
)
8
5
3
(
lim
2
4
x
x
x
o) 
=
-
+
-
-¥
®
)
2
3
5
(
lim
3
x
x
x
p) 
=
-
+
-
+¥
®
)
2
3
(
lim
2
x
x
x
q) 
=
-
+
-¥
®
1
1
2
lim
2
2
x
x
x
r) 
=
-
+
-
+
+
-
-¥
®
3
5
9
1
2
5
3
lim
2
3
2
3
x
x
x
x
x
x
x
s) 
=
+
+
-
+¥
®
2
4
2
3
7
5
4
lim
x
x
x
x
x
x
t) 
=
+
+
+
-
-¥
®
20
8
6
7
3
lim
4
5
4
5
x
x
x
x
x
x
u) 
=
+
+
+
+
-¥
®
2
4
5
12
4
lim
2
3
2
5
x
x
x
x
x
x
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