3 Group 16
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Question 1.
If
cos
α
=
-
2
2
,
α
∈
(
0
,
π
)
, then
sin
2
α
is equal to
a)
0
b)
-
2
2
c)
1
2
d)
-
1
e)
2
2
Question 2.
Determine
lim
n
→
∞
1
-
2
n
+
1000
n
2
n
(
1
-
2
n
2
)
.
a)
0
b)
+
∞
c)
-
1
2
d)
-
2
e)
-
∞
Question 3.
The maximal domain of definition of the function
f
(
x
)
=
log
(
|
x
|
-
1
)
is
a)
ℝ
-
{
-
2
,
-
1
,
1
,
2
}
b)
(
-
1
,
1
)
c)
(
-
∞
,
-
1
)
∪
(
1
,
∞
)
d)
⟨
-
2
,
2
⟩
e)
(
-
∞
,
-
2
⟩
∪
⟨
2
,
∞
)
Question 4.
Compute
lim
x
→
+
∞
arcsin
3
x
4
x
+
1
.
a)
π
2
b)
1
c)
0
d)
π
6
e)
π
3
Evaluate