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Ayudanta 3 - Rodrigo CofrÇ

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ĺım
n!"
!
n + (!1)n
n
" #
n
"
n + (!1)n
n
$
ĺım
x!0
sin
%
ln(máx{x2, x2 cos(1/x)})&
1
x2
'
(
· x2
ĺım
x!2
(x2 ! 1) = 3
ĺım
x!3
f(x) = 6
f(x) =
)
*+
*,
2x x < 3
8 x = 3
3x! 3 x > 3
ĺım
x!0
"
x2 + 1
x + 1
ĺım
x!0
1
x
#
1
3 + x
! 1
3
$
1
9
ĺım
x!0
"
2x + 1!
"
1! 3x
x
5
2
ĺım
x!1
4x3 + 8x2 ! 3x! 9
10x3 + x2 ! 5x! 6
25
27
ĺım
x!1
2
1! x2 !
3
1! x3 !
1
2
ĺım
x!0
-
x2 + p! p-
x2 + q2 ! q
q
p
ĺım
x!a
xm ! am
xp ! ap m, p # Z
+ m
p a
m#p
ĺım
x!a
x3 ! a3"
x!
"
a
a # R+ 6a2
"
a
ĺım
x!a
n
"
x! n
"
a
m
"
x! m
"
a
n, m # Z+ mn a
m!n
mn

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