The period of the function

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

The period of the function f(x)=sin⁡(x+3−[x+3])f(x)=\sin(x+3-[x+3]), where [ ⋅ ][\,\cdot\,] denotes the greatest integer function, is (1) 2π+32\pi+3 (2) 2π2\pi (3) 11 (4) 44

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