3 Group 1
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Question 1.
The graph of the function
f
(
x
)
=
{
x
-
2
x
∈
(
-
∞
,
2
⟩
,
|
x
-
2
|
x
∈
(
2
,
∞
)
:
a)
b)
c)
is not on any figure
d)
e)
Question 2.
Compute
lim
x
→
-
∞
x
9
x
2
+
1
+
3
.
a)
1
6
b)
0
c)
-
1
3
d)
1
3
e)
-
1
6
Question 3.
The maximal domain of definition of the function
f
(
x
)
=
log
(
|
x
|
-
2
)
is
a)
ℝ
-
{
-
3
,
-
2
,
2
,
3
}
b)
(
-
2
,
2
)
c)
(
-
∞
,
-
3
⟩
∪
⟨
3
,
∞
)
d)
(
-
∞
,
-
2
)
∪
(
2
,
∞
)
e)
⟨
-
3
,
3
⟩
Question 4.
Compute
lim
x
→
+
∞
cotg
(
-
1
ln
x
)
.
a)
+
∞
b)
-
∞
c)
3
d)
0
e)
-
3
Evaluate
