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Mathematics
Mathematics
Problem
Let
[
x
]
[x]
[
x
]
denote the greatest integer less than or equal to
x
x
x
. If
f
(
x
)
=
[
x
sin
π
x
]
f(x) = [x \sin \pi x]
f
(
x
)
=
[
x
sin
π
x
]
, then
f
(
x
)
f(x)
f
(
x
)
is a. continuous at
x
=
0
x = 0
x
=
0
b. continuous in
(
−
1
,
0
)
(-1, 0)
(
−
1
,
0
)
c. differentiable at
x
=
1
x = 1
x
=
1
d. differentiable in
(
−
1
,
1
)
(-1, 1)
(
−
1
,
1
)
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