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Problem
Problem
Let
f
(
x
)
=
cos
2
π
x
+
x
−
[
x
]
f(x) = \cos 2\pi x + x - [x]
f
(
x
)
=
cos
2
π
x
+
x
−
[
x
]
(
[
.
]
[. ]
[
.
]
denotes the greatest integer function). Then number of points in
[
0
,
10
]
[0, 10]
[
0
,
10
]
at which
f
(
x
)
f(x)
f
(
x
)
assumes its local maximum value, is a. 0 b. 10 c. 9 d. infinite
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