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MATHEMATICS · Single correct
Problem
If
f
(
x
)
=
1
3
(
f
(
x
+
1
)
+
5
f
(
x
+
2
)
)
f(x)=\frac13\left(f(x+1)+\frac{5}{f(x+2)}\right)
f
(
x
)
=
3
1
(
f
(
x
+
1
)
+
f
(
x
+
2
)
5
)
and
f
(
x
)
>
0
f(x)>0
f
(
x
)
>
0
for all
x
∈
R
x\in\mathbb{R}
x
∈
R
, then
lim
x
→
∞
f
(
x
)
\lim_{x\to\infty}f(x)
lim
x
→
∞
f
(
x
)
is: (1)
0
0
0
(2)
2
5
\sqrt{\frac25}
5
2
(3)
5
2
\sqrt{\frac52}
2
5
(4)
∞
\infty
∞
Related theory
Functions
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