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Question
Mathematics
The function f(x) = [x], where [x] denotes greatest integer function is continuous at
Q. The function
f
(
x
)
=
[
x
]
, where
[
x
]
denotes greatest integer function is continuous at
4348
200
KCET
KCET 2015
Continuity and Differentiability
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A
4
8%
B
-2
10%
C
1
24%
D
1.5
58%
Solution:
[
x
]
is always continuous at non-integer value of
x
. Hence,
f
(
x
)
=
[
x
]
will be continuous at
x
=
1.5
.