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Mathematics
Mathematics
Problem
If
f
(
x
)
=
e
sin
(
x
−
[
x
]
)
cos
π
x
f(x) = e^{\sin(x-[x]) \cos \pi x}
f
(
x
)
=
e
s
i
n
(
x
−
[
x
])
c
o
s
π
x
, where
[
x
]
[x]
[
x
]
denotes the greatest integer function, then
f
(
x
)
f(x)
f
(
x
)
is a. non-periodic b. periodic with no fundamental period c. periodic with period 2 d. periodic with period
π
\pi
π
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