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

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Solution

The correct option is B
10

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

The correct option is B 10f (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.

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

The correct option is B
10

f (x) = cos $(2 π x)$ + {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.