3 Group 5
back
next question
back to list
Question 1.
If
cos
α
=
-
2
2
,
α
∈
(
0
,
π
)
, then
a)
cotg
α
is not defined
b)
cotg
α
=
1
c)
cotg
α
=
-
1
d)
cotg
α
=
3
e)
cotg
α
=
3
3
Question 2.
Calculate
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
)
=
3
log
(
x
2
-
3
x
)
is
a)
⟨
0
,
3
⟩
b)
(
0
,
3
)
∪
(
3
,
∞
)
c)
(
0
,
3
)
d)
(
-
∞
,
0
)
∪
(
3
,
∞
)
e)
ℝ
-
{
0
,
3
}
Question 4.
Compute
lim
x
→
+
∞
arctg
x
arccotg
x
, if exists.
a)
-
∞
b)
1
c)
+
∞
d)
does not exist
e)
-
1
Evaluate