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Byju's Answer
Standard XII
Mathematics
Continuous Function
The function ...
Question
The function
{
(
−
1
)
[
x
]
,
x
<
0
l
i
m
n
→
∞
(
1
1
+
x
n
)
,
x
⩾
0
then the number of integral values of
x
in
[
−
3
,
5
]
where
f
(
x
)
is discontinuous is / are
([.] denotes greatest integer function)
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Solution
Graph of
f
(
x
)
is
So discontinuous at four points
f
(
x
)
=
⎧
⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪
⎨
⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪
⎩
−
1
−
3
≤
x
<
−
2
1
−
2
≤
x
<
−
1
−
1
−
1
≤
x
<
0
1
0
≤
x
<
1
1
2
x
=
1
0
x
>
1
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Q.
The number of points of discontinuity of
f
(
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)
=
{
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o
s
π
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]
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Q.
The function
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Q.
l
i
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+
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]
+
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w
h
e
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