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Byju's Answer
Standard XII
Mathematics
Equality of Matrices
f x =[ x 2+1/...
Question
f
(
x
)
=
[
x
2
+
1
x
2
+
[
|
x
|
]
+
1
]
is discontinuous at k points, then k is -
(where [.] denotes greatest integer function)
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Solution
f
(
x
)
=
{
1
,
|
x
|
<
1
0
|
x
|
≥
1
}
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10
Similar questions
Q.
At which point the function
f
(
x
)
=
x
2
[
x
]
, where
[
⋅
]
is greatest integer function, is discontinuous?
Q.
A function f(x) is defined by
f
(
x
)
=
[
x
2
]
−
1
x
2
−
1
for
x
2
≠
1
,
f
(
x
)
=
f
(
−
1
)
=
0
,where
[
x
]
denotes greatest integer function, then
Q.
Consider
f
(
x
)
=
x
2
;
x
ϵ
Q
and
f
(
x
)
=
1
;
x
∉
Q
; and
g
(
x
)
=
[
x
]
;
where [ ] denotes greatest integer function. Then
Q.
The function
f
(
x
)
=
[
x
]
cos
2
x
−
1
2
π
, where [ ] denotes the greatest integer function is discontinuous at
Q.
f
(
x
)
=
∞
∏
k
=
1
⎛
⎜ ⎜ ⎜ ⎜
⎝
1
+
2
cos
(
2
x
3
k
)
3
⎞
⎟ ⎟ ⎟ ⎟
⎠
, then the number of points where
[
x
f
(
x
)
]
+
|
x
f
(
x
)
|
+
(
x
−
1
)
|
x
2
−
3
x
+
2
|
is non-differentiable in
x
∈
(
0
,
3
π
)
is equal to (where [.] denotes the greatest integer function)
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