3 Group 15
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Question 1.
The graph of the function
y
=
(
x
+
2
)
2
a)
is a segment
b)
is a part of a parabola
c)
is a half-line
d)
is a straight line without a point
e)
are two intersecting half-lines with a common initial point
Question 2.
Calculate
lim
x
→
-
∞
arctg
x
π
-
arccotg
x
, if exists.
a)
1
b)
-
1
c)
+
∞
d)
does not exist
e)
-
∞
Question 3.
The maximal domain of definition of the function
f
(
x
)
=
log
(
|
x
|
-
2
)
is
a)
(
-
∞
,
-
2
)
∪
(
2
,
∞
)
b)
ℝ
-
{
-
3
,
-
2
,
2
,
3
}
c)
(
-
2
,
2
)
d)
(
-
∞
,
-
3
⟩
∪
⟨
3
,
∞
)
e)
⟨
-
3
,
3
⟩
Question 4.
Compute
lim
x
→
0
e
1
-
x
2
x
, if exists.
a)
1
b)
does not exist
c)
+
∞
d)
e
e)
0
Evaluate