|
29.a)
0
0
1
in
s
i
s
co
; b)
3
4
3
4
2
3
2
1
in
s
s
co
i
;c)
0
0
2
1
2
1
in
s
s
co
;
d)
3
5
3
5
2
3
2
1
in
s
i
s
co
i
; e)
2
3
2
3
in
s
s
co
i
.
30. a)
0
0
230
230
3
5
in
s
i
s
co
; b)
20
29
20
29
5
2
in
s
i
s
co
in
s
.
53
32. a)
3
1
2
9
i
; b)
12
3
2
; c) 64; d) 2, agar n – juft, 2, agar n –toq; e)
4
4
1
1
4
in
s
i
s
co
s
co
; f)
2
2
2
1
4
in
s
i
s
co
s
co
; g)
5
3
32
5
s
ico
.
36. a)
5
0
12
1
4
12
1
4
k
k
in
s
i
k
s
co
;
b)
9
0
30
1
6
30
1
6
(
k
k
in
s
i
k
s
co
;
с)
7
0
32
1
8
32
1
8
2
k
k
in
s
i
k
s
co
.
37. a)
2
3
2
1
,
1
i
; b)
i
,
1
; c)
2
3
1
;
2
3
1
,
1
i
i
;
d)
i
i
i
-
,
2
1
2
3
-
,
2
1
2
3
; e)
i
i
1
-
;
1
; f)
c
см
6
1
2
;
g)
i
i
i
1
2
,
1
2
,
2
,
2
; h)
i
i
i
3
2
3
,
3
2
3
,
3
;
i)
3
1
,
3
-
,
3
1
,
3
i
i
i
i
; j)
i
i
i
3
3
,
3
i
3
-
,
3
3
,
3
3
;
k)
3
2
3
2
2
6
1
,
1
4
2
1
,
3
2
3
2
2
2
1
6
3
6
i
i
i
;
l)
i
i
i
1
,
3
2
3
2
2
2
1
-
,
3
2
3
2
2
2
1
;
m)
i
i 2
,
3
; n)
i
i
3
,
3
2
3
; o)
2
3
2
3
,
2
3
2
3
i
i
;
p)
i
i
3
3
,
3
3
1
.
38.
a)
;
15
13
15
13
2
;
15
7
15
7
2
;
15
15
2
5
5
5
in
s
i
s
co
in
s
i
s
co
in
s
i
s
co
54
3
5
3
5
2
;
5
19
5
19
2
5
5
in
s
i
s
co
in
s
i
s
co
b)
i
i
i
i
3
2i,
-
,
3
-
,
3
-
2i,
,
3
. 39.
i
2
3
;
10- amaliy mashg’ulot.
SONLAR KETMA-KETLIGI VA UNING LIMITI
Quyidagi ketma-ketliklarning dastlabki beshta hadini yozing:
1.
1
2
)
1
(
2
n
x
n
n
.
2.
)
)
1
(
3
3
(
n
n
n
x
.
3.
2
3
3
4
n
n
x
n
.
4.
n
x
n
n
2
3
arcsin
)
1
(
. 5.
2
cos
n
x
n
.
6.
n
n
x
)
1
(
2
.
Quyidagi ketma-ketliklarning umumiy hadini yozing.
7.
.
,...
5
1
,
4
1
,
3
1
,
2
1
8.
.
....
,
4
,
0
,
4
,
0
9
.
,...
0
,
7
,
0
,
5
,
0
,
3
,
0
,
1
10.
.
,...
7
8
,
6
5
,
3
4
,
2
11.
.
,...
9
11
,
7
9
,
5
7
,
3
5
,
3
Quyida berilgan
}
{
n
x
ketma-ketliklarni chegaralanganlikka tekshiring.
12.
n
n
40
3
. 13.
.
7
6
5
n
n
14.
2
2
4
3
4
n
n
. 15.
2
2
3
2
5
n
n
.
16.
.
)
1
(
)
1
(
2
n
n
17.
n
n
n
]
)
1
(
1
[
)
1
(
1
. 18.
.
5
2
n
Quyidagi ketma-ketliklarning chegaralanganligini isbotlang.
19.
.
3
3
4
2
2
n
n
20.
.
2
3
)
1
(
2
n
n
n
21.
.
)
2
(
6
5
2
2
n
n
n
22.
.
)
1
(
)
1
(
3
4
2
3
5
n
n
n
23.
.
3
2
2
n
n
24.
.
3
sin
2
2
n
n
Quyida berilgan
}
{
n
x
ketma-ketliklarning cheksiz kichik ketma-ketlik
ekanligini ta’rif bo’yicha ko’rsating.
25.
.
3
n
x
n
26.
.
)
1
(
1
n
x
n
n
27.
n
n
n
x
3
)
1
(
1
.
55
28.
2
cos
1
n
n
x
n
. 29.
n
x
n
1
.
30.
1
2
2
n
x
n
.
Quyida berilgan
}
{
n
x
ketma-ketliklarning cheksiz katta ketma-ketlik ekanligini
ta’rif bo’yicha ko’rsating:
31.
.
n
x
n
32.
n
x
n
3
4
.
33.
.
2
n
n
x
34.
n
x
n
ln
.
35.
)
(
/
1
N
p
n
x
p
n
Ketma-ketlik limiti ta’rifidan foydalanib, quyidagi tengliklarni isbotlang.
36.
.
1
5
4
3
4
lim
n
n
n
37.
3
5
4
3
2
5
lim
n
n
n
.
38.
.
1
1
2
3
lim
2
2
n
n
n
n
39.
8
5
7
8
4
5
lim
2
2
n
n
n
.
40.
1
lim
2
n
n
n
n
.
41.
.
9
5
9
7
1
5
lim
n
n
n
42. Quyida berilgan
}
{
n
x
ketma-ketliklarning yaqinlashuvchi ekanligini
isbotlang:
1)
;
)
1
(
3
n
x
n
n
2)
;
1
n
n
x
n
3)
);
0
(
2
a
x
n
n
4)
;
!
1
n
n
n
x
43. Quyida berilgan
}
{
n
x
ketma-ketliklarning uzoqlashuvchi ekanligini
isbotlang.
1)
n
n
n
x
2
)
1
(
.
2)
n
n
x
n
)
1
(
.
3)
.
10
2
n
n
x
n
4)
n
x
n
n
1
)
1
(
.
44.
a
soni
}
{
n
x
ketma-ketliklarning limiti emasligini ta’rif yordamida
ko’rsating.
1)
0
,
2
2
)
1
(
a
x
n
n
.
2)
1
1
2
2
a
n
n
x
n
.
3)
1
,
)
1
(
a
n
x
n
n
.
4)
2
1
,
3
cos
a
n
x
n
.
Limitlarni toping
56
45.
2
3
1
....
12
1
6
1
lim
2
n
n
n
.
46.
)
1
3
(
)
2
3
(
1
....
7
4
1
4
1
1
lim
n
n
n
.
47.
)
1
4
(
)
3
4
(
1
....
9
5
1
5
1
1
lim
n
n
n
.
48.
)
3
2
(
)
1
2
(
)
1
2
(
1
....
7
5
3
1
5
3
1
1
lim
n
n
n
n
.
n
a
- ketma-ketlik arifmetik progressiya bo’lib, uning ayirmasi
0
d
va barcha
xadlari
0
n
a
)
(
N
n
bo’lsin. Limitlarni toping.
49.
1
3
2
2
1
1
....
1
1
lim
n
n
n
a
a
a
a
a
a
.
50.
2
1
4
3
2
3
2
1
1
....
1
1
lim
n
n
n
n
a
a
a
a
a
a
a
a
a
.
51.
3
2
1
5
4
3
2
4
3
2
1
1
....
1
1
lim
n
n
n
n
n
a
a
a
a
a
a
a
a
a
a
a
a
.
52.
n
n
n
n
n
2
2
2
4
lim
2
.
53.
n
n
n
n
n
1
7
7
lim
2
2
2
.
54.
4
4
3
3
1
1
lim
n
n
n
n
n
.
55.
1
2
lim
4
3
n
n
n
n
n
n
.
56.
n
n
n
n
n
3
3
3
2
lim
.
57.
)
1
(
lim
3
2
n
n
n
n
n
n
n
.
Quyidagi limitlarni toping:
58.
.
,
,
1
lim
N
q
p
m
p
q
n
n
59.
n
n
n
n
3
3
1
3
lim
. 60.
n
n
n
n
5
2
lim
.
61.
2
1
lim
2
2
n
n
n
n
. 62.
N
k
n
k
n
n
,
1
1
lim
. 63.
n
n
n
1
1
ln
lim
.
64. Kuyida berilgan
n
x
ketma-ketliklarni Koshi kriteriysidan foydalanib,
yaqinlashuvchi ekanligini isbotlang.
57
1)
.
,
2
cos
....
3
3
cos
3
2
cos
3
cos
3
2
R
a
na
a
a
a
x
n
n
2)
!
1
....
!
3
1
!
2
1
1
n
x
n
.
3)
,
....
2
2
1
n
n
n
q
a
q
a
q
a
x
bunda
,
1
q
N
n
uchun
.
,
const
C
C
a
n
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