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Byju's Answer
Standard XII
Mathematics
Inverse of a Function
( 1-x )^3/2 ...
Question
(
1
ā
x
)
3
/
2
can be expanded in ascending powers of
x
if
A
−
1
<
x
<
1
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B
x
<
−
1
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C
x
>
1
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D
none of these
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Solution
The correct option is
A
−
1
<
x
<
1
Given,
(
1
−
x
)
3
2
=
(
1
−
x
)
[
√
1
−
x
]
Hence this can only be expanded in powers of x if
|
x
|
<
1
→
−
1
<
x
<
1
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