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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
+
x
2
2
+
x
3
3
+
x
4
4
+
x
5
5
f(x) = x + \frac{x^2}{2} + \frac{x^3}{3} + \frac{x^4}{4} + \frac{x^5}{5}
f
(
x
)
=
x
+
2
x
2
+
3
x
3
+
4
x
4
+
5
x
5
and let
f
−
1
(
x
)
=
g
(
x
)
f^{-1}(x) = g(x)
f
−
1
(
x
)
=
g
(
x
)
, then
g
′
′
′
(
0
)
g'''(0)
g
′′′
(
0
)
is equal to (Note:
[
k
]
[k]
[
k
]
denotes the greatest integer function less than equal to
x
x
x
) (A) 1 (B) -1 (C) 2 (D) -2
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