The function f(x) = cos x + {x} (where {.} denotes the fractional part function) is

Periodic with period 1

Periodic with period π

Periodic with period 2π

Not periodic

Question

The function f(x) = cos x + {x}
(where { } denotes the fractional part function) is

Periodic with period 1

Periodic with period π

Periodic with period 2π

Not periodic

Arnab Gupta · Accepted Answer

Dear student,fx=x+cosxIf there are two function, then period of their sum is L
C M of periods of two function
 Period of x is 1
 Period of cosx is 2πLCM of 2π and 1 is 2πSo, period of f(x)={x}+cosx is 2πRegards!

The function f(x) = cos x + {x} (where {.} denotes the fractional part function) is Periodic with period 1 Periodic with period π Periodic with period 2π Not periodic

The function f(x) = cos x + {x} (where {.} denotes the fractional part function) is

Periodic with period 1

Periodic with period π

Periodic with period 2π

Not periodic