Continuity of Function with Fractional Part (Je… | ExamDuo
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Continuity and Differentiability
Medium
Continuity of Function with Fractional Part
Let
α
∈
R
be such that the function
f
(
x
)
=
{
cos
−
1
(
1
−
{
x
}
2
)
sin
−
1
(
1
−
{
x
}
)
{
x
}
−
{
x
}
3
x
≠
0
α
x
=
0.
is continuous at
x
=
0
, where
{
x
}
=
x
−
[
x
]
,
[
x
]
is the greatest integer less than or equal to
x
. Then,
Ask about this question
SELECT ONE OPTION
A
α
=
π
√
2
B
α
=
0
C
no such
α
exists
D
α
=
π
4
Check