3 Group 4
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Question 1.
If
sin
(
α
+
π
)
=
1
, then
a)
cotg
α
=
1
b)
cotg
α
=
3
3
c)
cotg
α
=
3
d)
cotg
α
is not defined
e)
cotg
α
=
0
Question 2.
Compute
lim
x
→
-
∞
arctg
x
π
-
arccotg
x
, if exists.
a)
-
1
b)
does not exist
c)
+
∞
d)
1
e)
-
∞
Question 3.
The maximal domain of definition of the function
f
(
x
)
=
3
log
(
x
2
-
3
x
)
is
a)
(
0
,
3
)
∪
(
3
,
∞
)
b)
⟨
0
,
3
⟩
c)
(
-
∞
,
0
)
∪
(
3
,
∞
)
d)
(
0
,
3
)
e)
ℝ
-
{
0
,
3
}
Question 4.
Calculate
lim
x
→
+
∞
x
·
(
cos
x
-
2
)
, if exists.
a)
+
∞
b)
0
c)
-
∞
d)
-
2
e)
does not exist
Evaluate