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Question

Let f(x) = cos 2π x+x-[x] ([.] denotes the greatest integer function). Then number of points in [0, 10] in which  (x) assume its local maximum value, is



Your Answer
A

0

Correct Answer
B

10

Your Answer
C

9

Your Answer
D

Infinite


Solution

The correct option is C

10


f (x) = cos (2πx) + {x} f (x) is periodic with period 1 and f (x) has one local maximum in x ε [0, 1].  Maximum in x ε [0, 1].
Hence (b) is the correct answer.

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