3 Group 19
back
next question
back to list
Question 1.
If
sin
α
=
-
2
2
,
α
∈
(
1
2
π
,
3
2
π
)
, then
sin
2
α
is equal to
a)
0
b)
2
2
c)
1
d)
-
2
2
e)
1
2
Question 2.
Determine
lim
n
→
∞
(
n
1001
+
1
)
2
n
2001
+
2
n
2000
+
3
n
1999
.
a)
1
b)
0
c)
+
∞
d)
1
3
e)
1
2
Question 3.
The maximal domain of definition of the function
f
(
x
)
=
log
(
|
x
|
-
2
)
is
a)
(
-
∞
,
-
3
⟩
∪
⟨
3
,
∞
)
b)
(
-
∞
,
-
2
)
∪
(
2
,
∞
)
c)
(
-
2
,
2
)
d)
⟨
-
3
,
3
⟩
e)
ℝ
-
{
-
3
,
-
2
,
2
,
3
}
Question 4.
The domain of definition of the function
f
(
x
)
=
ln
(
x
2
-
4
)
is the set
a)
ℝ
∖
(
-
2
,
2
)
b)
ℝ
c)
ℝ
∖
{
-
2
,
2
}
d)
∅
e)
(
-
∞
,
-
2
)
∪
(
2
,
+
∞
)
Evaluate