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Mathematics
Mathematics
Problem
If
f
(
n
+
1
)
=
1
2
{
f
(
n
)
+
9
f
(
n
)
}
f(n+1) = \frac{1}{2} \left\{ f(n) + \frac{9}{f(n)} \right\}
f
(
n
+
1
)
=
2
1
{
f
(
n
)
+
f
(
n
)
9
}
,
n
∈
N
n \in \mathbb{N}
n
∈
N
and
f
(
n
)
>
0
f(n) > 0
f
(
n
)
>
0
for all
n
∈
N
n \in \mathbb{N}
n
∈
N
, then
lim
n
→
∞
f
(
n
)
=
?
\lim_{n \rightarrow \infty} f(n) = ?
lim
n
→
∞
f
(
n
)
=
?
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