3 Group 12
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Question 1.
If
cos
α
=
-
3
2
,
α
∈
(
π
,
2
π
)
, then
cos
2
α
is equal to
a)
-
2
2
b)
3
2
c)
1
2
d)
2
2
e)
0
Question 2.
Determine
lim
n
→
∞
(
3
-
2
n
2
)
(
1
+
n
17
)
5
-
n
17
-
2
n
18
.
a)
0
b)
+
∞
c)
-
1
2
d)
-
∞
e)
1
2
Question 3.
The maximal domain of definition of the function
f
(
x
)
=
log
|
x
2
-
5
x
+
6
|
is
a)
ℝ
b)
(
-
∞
,
2
)
∪
(
3
,
∞
)
c)
ℝ
-
{
2
,
3
}
d)
(
2
,
3
)
e)
(
2
,
∞
)
Question 4.
Calculate
lim
x
→
+
∞
x
·
(
cos
x
-
2
)
, if exists.
a)
does not exist
b)
-
∞
c)
-
2
d)
0
e)
+
∞
Evaluate