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Mathematics
Mathematics
Problem
The function
f
(
x
)
=
{
x
}
sin
(
π
[
x
]
)
f(x) = \{x\} \sin(\pi[x])
f
(
x
)
=
{
x
}
sin
(
π
[
x
])
, where
[
⋅
]
[\cdot]
[
⋅
]
denotes the greatest integer function and
{
⋅
}
\{\cdot\}
{
⋅
}
is the fractional part function, is discontinuous at (a) all
x
x
x
(b) all integer points (c) no
x
x
x
(d)
x
x
x
which is not an integer
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