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Byju's Answer
Standard XI
Mathematics
Graph of [x]
The function ...
Question
The function
f
(
x
)
is defined as
|
[
x
]
x
|
for
−
1
<
x
≤
2
.
For what values of
x
is
f
(
x
)
discontinuous ?
A
0
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B
1
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C
2
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D
−
1
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Solution
The correct option is
C
2
f
=
|
[
x
]
x
|
=
|
[
x
]
|
|
x
|
f
(
x
)
=
⎧
⎪ ⎪ ⎪ ⎪
⎨
⎪ ⎪ ⎪ ⎪
⎩
−
x
,
−
1
<
x
<
0
0
,
0
≤
x
<
1
x
,
1
≤
x
<
2
4
,
x
=
2
L.H.L
=
lim
x
→
1
−
f
(
x
)
=
0
R.H.L
=
lim
x
→
1
+
f
(
x
)
=
1
L.H.L
≠
R.H.L
L.H.L
=
lim
x
→
2
−
f
(
x
)
=
2
R.H.L
=
lim
x
→
2
+
f
(
x
)
=
4
L.H.L
≠
R.H.L
f
(
x
)
discontinuous at
x
=
1
,
2
Suggest Corrections
0
Similar questions
Q.
Assertion :Statement-1:
f
(
x
)
=
1
{
x
}
is discontinuous for integral values of
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Q.
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Q.
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