Greatest Integer Function Continuity (Jee Mains) | ExamDuo
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Continuity and Differentiability
Medium
Greatest Integer Function Continuity
Let
f
(
x
)
=
[
x
2
−
x
]
+
|
−
x
+
[
x
]
|
, where
x
∈
ℝ
and
[
t
]
denotes the greatest integer less than or equal to
t
. Then,
f
is :
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SELECT ONE OPTION
A
not continuous at
x
=
0
and
x
=
1
B
continuous at
x
=
0
and
x
=
1
C
continuous at
x
=
1
, but not continuous at
x
=
0
D
continuous at
x
=
0
, but not continuous at
x
=
1
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