3 GROUP 6
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Question 1.
If
sin
α
=
1
2
,
α
∈
(
1
2
π
,
3
2
π
)
, then
sin
2
α
is equal to
a)
3
2
b)
-
2
2
c)
-
3
2
d)
2
2
e)
0
Question 2.
Calculate
lim
x
→
-
∞
4
x
2
+
1
-
2
x
.
a)
-
2
b)
-
1
2
c)
2
d)
1
2
e)
0
Question 3.
The maximal domain of definition of the function
f
(
x
)
=
log
|
x
2
-
5
x
+
6
|
is
a)
ℝ
-
{
2
,
3
}
b)
(
2
,
3
)
c)
(
2
,
∞
)
d)
ℝ
e)
(
-
∞
,
2
)
∪
(
3
,
∞
)
Question 4.
Compute
lim
x
→
+
∞
arccos
x
2
+
4
4
x
2
+
1
.
a)
1
b)
π
3
c)
π
2
d)
π
6
e)
0
Evaluate