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Mathematics
Mathematics
Problem
If
f
(
x
)
f(x)
f
(
x
)
is a polynomial of degree
n
n
n
, such that
f
(
0
)
=
0
f(0) = 0
f
(
0
)
=
0
,
f
(
1
)
=
1
/
2
,
…
,
f
(
n
)
=
n
n
+
1
f(1) = 1/2, \dots, f(n) = \frac{n}{n+1}
f
(
1
)
=
1/2
,
…
,
f
(
n
)
=
n
+
1
n
, then the value of
f
(
n
+
1
)
f(n+1)
f
(
n
+
1
)
is a. 1, when
n
n
n
is even b.
n
n
+
2
\frac{n}{n+2}
n
+
2
n
, when
n
n
n
is odd c. 1, when
n
n
n
is odd d.
n
n
+
2
\frac{n}{n+2}
n
+
2
n
, when
n
n
n
is even
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