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Byju's Answer
Standard XII
Mathematics
Properties of Inverse Function
The period of...
Question
The period of the function
f
(
x
)
=
x
[
x
]
is
A
1
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B
2
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C
it is not periodic
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D
none of these
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Solution
The correct option is
C
it is not periodic
We have,
f
(
x
)
=
x
[
x
]
=
k
x
, when
k
≤
x
<
k
+
1
and
k
∈
Z
Clearly, it is not a periodic function.
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