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3.¿ n104n
=
n+1104 (n+1)
n
104n
=
n+1104n∗104
n
104n
=104n (n+1 )
(104n ) (10 )4 (n )=n+1( 1n )104n (1n )
=
nn
¿1
+ 1n
¿0
104nn
= 1
104
4 .¿
2n∗nnn
=
2n+1 (n+1 )(n+1 )n+1
2n∗nnn
=
2n∗21∗(n+1 )(n+1 )n ¿ (n+1 )1
2n∗nnn
=2n∗n1 (n+1 ) (nn )
(n+1 )n∗(n+1 )1∗2n∗n=
(nn )∗( 1nn )(n+1 )n∗( 1nn )
=
nn
nn
(n+1 )n
nn
=nn ¿nn
nn∗(n+1 )n=
1
(n+1 )n
nn
=1
5 .¿
log nen
=
log (n+1 )e (n+1)
log nen
=
log n+ log 1en∗e1
log nen
=en ( log n+log 1 )en∗e1∗log n
=( log n+log 1 )∗( 1
log n )e1∗log n( 1
log n )=
log n+ log 1log ne1 log nlog n
=1+ log 1log ne1
= 1e1
=0.36
9 .¿ nnn
=
n+1n+1 (n+1 )
nnn
=nn (n+1 )n (n+1 )(n+1) =
nn (n+1 )n (n+1 )n∗(n+1 )1
= nn
n (n+1 )=0
