lista_3_03.pdf

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lista_03.dvi
n
n
n + 1 ,
S n = 2 n
n! ,
S n = 1
4 .
X
1
n + 1
2n + 1 ,
X
1
n
− 1
n + 1
X
1 p
n
1
,
sin
−sin
p
.
n + 1
n=1
n=1
n=1
P
10 −k + 9 −k
P
(7 −n + 2 n )
P
P
|x| n/3
|x|< 1
(−1) j t 2j
0 6 t < 1
k=1
j=1
P
P
1
1
nz n
|z|< 1
u k
1−u k
|u|< 1
n=1
k=1
P
x m cos m 2
|x|< 1
m=0
P
P
p
j
sin j
e
n 2
j=1
n=3
P
P
cos n 2 ,
1·3·5·...·(2n+1)
2·4·6·...·(2n+2)
n=1
n=1
P
P
(−1) m log
n
n+2
1·3·5·...·(2n+1)
2·5·8·...·(3n+2)
P
P
e n
n!
1
p
p
n+1+
n+2
n=1
n=1
P
P
cos 2 n
2 n
arctg n
n
n=1
n=1
P
P
2+sin n
n 2
n!
n n
n=1
n=1
P
P
1
3 n −sin n
(−1) n
p
n+3
P
P
log(n+3)
n 3 +3
cos 2n
2 n
n=1
n=1
P
P
1
n!−n
(−1) n+1
n 2 −n
n=2
n=3
P
P
1
(n+2) log(n+2)
(−1) n
n log n
P
P
1
(n+2)[log(n+2)] 2
(−1) n
n log 2 n
n=1
n=2
S n =
1
1
1
1
k=1
k=1
1
1
1
1
1
n
1
1
1
1
m=1
n=1
1
1
1
1
1
1
1
1
n=0
n=1
1
1
1
1
1
1
n=0
n=2
1
1
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