I
n
[
]
:
=
t
=
T
a
b
l
e
[
1
/
n
,
{
n
,
1
,
2
^
1
5
}
]
;
t
=
P
r
e
p
e
n
d
T
o
[
t
,
1
]
;
{
N
[
F
r
o
m
C
o
n
t
i
n
u
e
d
F
r
a
c
t
i
o
n
[
t
]
,
1
0
]
,
N
[
P
i
/
2
,
1
0
]
}
O
u
t
[
]
=
{
1
.
5
7
0
7
7
2
3
5
9
,
1
.
5
7
0
7
9
6
3
2
7
}
Does this continued fraction converge to
π
/2?
π
/
2
=
1
+
1
1
+
1
1
2
+
1
1
3
+
1
1
4
+
1
⋯