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Problems
If
f
(
x
)
=
cos
[
π
x
]
cos
(
π
2
(
x
−
1
)
)
f(x) = \cos \left[ \frac{\pi}{x} \right] \cos \left( \frac{\pi}{2} (x - 1) \right)
f
(
x
)
=
cos
[
x
π
]
cos
(
2
π
(
x
−
1
)
)
,…
Mathematics
Problem
If
f
(
x
)
=
cos
[
π
x
]
cos
(
π
2
(
x
−
1
)
)
f(x) = \cos \left[ \frac{\pi}{x} \right] \cos \left( \frac{\pi}{2} (x - 1) \right)
f
(
x
)
=
cos
[
x
π
]
cos
(
2
π
(
x
−
1
)
)
, where
[
x
]
[x]
[
x
]
is the greatest integer function of
x
x
x
, then
f
(
x
)
f(x)
f
(
x
)
is continuous at a.
x
=
0
x = 0
x
=
0
b.
x
=
2
x = 2
x
=
2
c.
x
=
1
x = 1
x
=
1
d. none of these
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