Continuity of Greatest Integer Function (Jee Ma… | ExamDuo
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Continuity and Differentiability
Medium
Continuity of Greatest Integer Function
If
f
:
R
→
R
is a function defined by
f
(
x
)
=
[
x
−
1
]
cos
(
2
x
−
1
2
)
π
, where [.] denotes the greatest integer function, then
f
is
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SELECT ONE OPTION
A
discontinuous only at
x
=
1
B
discontinuous at all integral values of
x
except at
x
=
1
C
continuous only at
x
=
1
D
continuous for every real
x
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