lista_3_01.pdf
(
72 KB
)
Pobierz
lista_01.dvi
a
n
= n
2
−n n = 1, 2, . . .
= 1, 2, . . .
k
b
= b
2
−b b = 0, 1, . . .
j
2
+1
, j = 0, 1, . . .
j
b
k
= (−2)
k
, k = 0, 1, . . .
x
1
= x
2
= 3, x
n
= 2x
n−1
−x
n−2
n = 3, 4, . . .
a
r
=
2r+1
2r
, r = 50, 51, . . .
a
n
= sin n
0
m
0
n!1
a
n
= lim
lim
n!1
a
n+m
0
n!1
a
n+m
0
n!1
a
n
a
n
=
n+1
, n = 0, 1, . . .
n
1
e
j
=
1
p
j
, j = 1, 2, . . .
0
q
lim
n!1
4 +
n
= 2
a
n
=
3n
3
+n
2
+1
n = 0, 1, . . .
2n
3
−n
+1
−1
a
n
=
1+n−n
2
, n = 1, 2, . . .
1−2n
2
u
n
=
n
3
−3n+4
n
2
+n
, n = 1, 2, . . .
u
=
!+1
!−1
,
= 2, 3, . . .
a
n
=
(n+3)!−n!
(n+4)!
, n = 0, 1, . . .
c
j
=
8
j
−4
j
3
j
, j = 1, 2, . . .
(
x2R : 1−
1
2
n
1
2
2n
)
A =
< x < 2−
, 8
n=1, 2, ...
,
B ={x2Q : 0 < x, x
2
6 2},
C =
x
2
+ 1
x
2
−1
: x2R
.
a
n
n = 1, 2, . . .
n!1
a
n
a
n
=
2n−1
3n+4
sup{a
n
: n = 1, 2, . . .}
inf{a
n
: n = 1, 2, . . .}
a
n
=
n
2
+1
n
2
+n
a
n
=
1·3·5·...·(2n−1)
2·4·6·...·(2n)
a
n
=
n
log n!
a
= (−1)
(
−1)
3
n
j
=
lim
lim
lim
A
a
n
, n =
1, 2, . . .
A
n!1
a
n
= sup A
a
n
n = 0, 1, . . .
I
0
= (a, a + 1]
a
I
0
I
1
=
a +
a
1
10
, a +
a
1
+ 1
10
0 6 a
1
6 9,
I
1
I
2
=
a +
a
1
10
+
10
2
, a +
a
1
10
+
a
2
+ 1
0 6 a
2
6 9
10
2
I
0
I
1
I
2
a, a
1
a
2
. . .
lim
a
2
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