JEE Main 2012Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002If f:R→Rf:R \to Rf:R→R is a function defined by f(x)=[x]cos(2x−12)πf\left( x \right) = \left[ x \right]\cos \left( {{{2x - 1} \over 2}} \right)\pif(x)=[x]cos(22x−1)π, where [x] denotes the greatest integer function, then fff isAOption A. continuous for every real xxxBOption B. discontinuous only at x=0x=0x=0COption C. discontinuous only at non-zero integral values of xxxDOption D. continuous only at x=0x=0x=0CheckSkip · show solution
