If , where is the greatest integer function of , then is continuous…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

f(x) = \cos \left[ \frac{\pi}{x} \right] \cos \left( \frac{\pi}{2} (x - 1) \right)

, where

[x]

is the greatest integer function of

x

, then

f(x)

is continuous at (1)

x = 0

(2)

x = 2

(3)

x = 1

(4) none of these