If , where denotes the greatest integer function, then…

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

f(x) = e^{\sin(x-[x]) \cos \pi x}

, where

[x]

denotes the greatest integer function, then

f(x)

is (1) non-periodic (2) periodic with no fundamental period (3) periodic with period 2 (4) periodic with period

\pi