Ayudanta 1 - Rodrigo CofrÇ

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ĺım
n!"
2n + 1
n + 1
2
lim
n!"
3n3 + 7n2 + 1
4n3 ! 8n + 63
4
3
lim
n!"
n
n + 1
! n + 1
n
0
lim
n!"
1
2n!
"
a + n
"
b + n
0
lim
n!"
"
n!
n +
"
n +
"
n
1
lim
n!"
n2 ! 5n + 1
3n + 7
#
lim
n!"
n2
10 + n
"
n
#
lim
n!"
2n + 1
n + 1
= 2
ĺım
n!"
an 0 < a < 1 # a > 1
ĺım
n!"
3n+1 + 2n+1
2n + 3n
3
A B
sup{a + b/a $ A % b $ B} = sup A + sup B
b $ R 0 < b < 1 an
a1 = b , an+1 = an(2! an)
an =
n#
k=1
k
$
n
k
%
(!1)k2k
&an
n2
'