JEE PYQ: Continuity And Differentiability Question 8
Question 8 - 2021 (24 Feb Shift 1)
If $f : R \to R$ is a function defined by $f(x) = [x - 1] \cos\left(\dfrac{2x - 1}{2}\right)\pi$, where $[\cdot]$ denotes the greatest integer function, then $f$ is:
(1) discontinuous only at $x = 1$
(2) discontinuous at all integral values of $x$ except at $x = 1$
(3) continuous only at $x = 1$
(4) continuous for every real $x$