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 
⋅ ? ⋅ FF + ⋅ ? ⋅ HH −
⋅ ? ⋅ N9B
B
*
+∞
B
)O
π
#
9
?
⋅ ? ⋅ F ⋅ H ⋅9? ⋅
=∑
− 9) (
(


9 
= F + ∑ ( −9)   −9 (
=9
 
?
F
= F − F ⋅ N + ⋅ F ⋅ 9 − ⋅ F ⋅ ? + H ⋅ F ⋅ HN =
=
N9
B
=
H?
:
0

− = ∑ ( −9) 
=9

O
π
(
+ − 9) O
+ − )O

= ∑ ( −9) 
=9

( )O
#
= − ⋅ ? + ⋅ ? ⋅99 −
9
P= +9.
##
)O
#
9
*
(
+ − 9)O
+ − P) O



# (
9
(
(
(
P
(
P
(
P

= ∑ ( −9) 
=9

+∞
( *
π
+ − 9)O
−
+ − P) O π
,
#(
;
π
P
>
− =
&#
π
P
+ 9)
(
−
P
P=
= ∑ ( −9)
)
→



#
#
!

.
−9 
#
(
( #
:
RR #
0
*I Q >
≥
(
( )=−
&#
0
=
(
=−
#
∑
+∞
=9
9
#
9?
=
∑
>
π
9
,
#(
(
−9
+∞
∑
=9
9N
=
9
9
9F
=
,
#
+∞
∑
/
#
+∞
∑
=9
9
9
=
# (
+
(
7
#
#
#
S9T
( −9) ( )O ζ
=
π
#
#
.
9M
9H
=
⋅ MF F9? ⋅ π
9?M ⋅ O
#
⋅ ?M H ⋅ π 9M
HNM ⋅9MO
.
/
*
( )
0
9
=ζ
( ).
/
.Q *
9
S9T!
=9
Q
.
# ,
=9
∞
(<88
B
π
π
⋅ ? 9H ⋅ π 9
F9 ⋅9 O
⋅9H 99 ⋅ π
?? ⋅ O
∑
S9T
−9
( )O
#<
2
( −9) ( )O
!. 7 # ,
−9
#
= #
=−
( )=
−9
(
9
0
G
RR/
<
=9
# *
#
).
,
( )O
F
⋅ H ⋅π 9
⋅9 O
+∞
C
−9
,
#
9
−9
#
=−∞
≠
( −9) ( )O +∞
∑=9
( π)
#%
F # (
∑
π)
*
4( ( π
+∞
O
( (
( −9)
=
(
(
(
( )=
" # -
%
8
C
.
# %
(
#
Revista Escolar de la Olimpíada Iberoamericana de
Matemática
http://www.campus-oei.org/oim/revistaoim/
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