Function Composition Definite Integral Limit (J… | ExamDuo
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Definite Integrals and Reduction
Hard
Function Composition Definite Integral Limit
Let
f
(
x
)
=
x
(
1
+
x
n
)
1
n
,
x
∈
ℝ
−
{
−
1
}
,
n
∈
ℕ
,
n
>
2
. If
f
n
(
x
)
=
n
(
f
o
f
o
f
..... upto
n
times) (x), then
lim
n
→
∞
1
∫
0
x
n
−
2
(
f
n
(
x
)
)
dx
is equal to _______.
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