If f: R → R is a function defined by f(x)= [x - 1] cos ((2x - 1)/2)π, where [.] denotes the greatest integer function, then f is:

(A) continuous for every real x

(B) discontinuous at all integral values of x except at x = 1

(C) discontinuous only at x = 1

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 24 Feb, Morning shift · Q4142

JEE Main 202124 Feb, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If f : R

\to

R is a function defined by f(x)= [x - 1]

\cos \left( {{{2x - 1} \over 2}} \right)\pi

, where [.] denotes the greatest integer function, then f is :

JEE Main 2021 · 24 Feb, Morning shift · Q4142

JEE Main 202124 Feb, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If f : R

\to

R is a function defined by f(x)= [x - 1]

\cos \left( {{{2x - 1} \over 2}} \right)\pi

, where [.] denotes the greatest integer function, then f is :