3 Group 18
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Question 1.
If
cos
(
α
+
π
)
=
0
, then
a)
tg
α
is not defined
b)
tg
α
=
3
3
c)
tg
α
=
0
d)
tg
α
=
3
e)
tg
α
=
1
Question 2.
Determine
lim
n
→
∞
(
n
1001
+
1
)
2
n
2001
+
2
n
2000
+
3
n
1999
.
a)
1
b)
0
c)
1
3
d)
1
2
e)
+
∞
Question 3.
The maximal domain of definition of the function
f
(
x
)
=
log
(
1
-
cos
x
)
is
a)
ℝ
-
⋃
k
∈
ℤ
{
2
k
π
}
b)
ℝ
-
⋃
k
∈
ℤ
{
3
2
π
+
2
k
π
}
c)
ℝ
-
⋃
k
∈
ℤ
{
(
2
k
+
1
)
π
}
d)
ℝ
-
⋃
k
∈
ℤ
{
k
π
2
}
e)
ℝ
Question 4.
Compute
lim
x
→
+
∞
arccos
(
e
-
x
)
.
a)
π
4
b)
-
π
2
c)
π
2
d)
1
e)
0
Evaluate