Continuity of Greatest Integer Function (Jee Ma… | ExamDuo
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Continuity and Differentiability
Medium
Continuity of Greatest Integer Function
Let
[
t
]
denote the greatest integer less than or equal to
t
. Let
f
:
[
0
,
∞
)
⟶
R
be a function defined by
f
(
x
)
=
[
x
2
+
3
]
−
[
√
x
]
. Let
S
be the set of all points in the interval
[
0
,
8
]
at which
f
is not continuous. Then
∑
a
∈
S
a
is equal to ______.
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