JEE PYQ: Continuity And Differentiability Question 24
Question 24 - 2019 (08 Apr Shift 2)
Let $f : [-1, 3] \to \mathbb{R}$ be defined as
$$f(x) = \begin{cases} |x| + [x], & -1 \leq x < 1 \ x + |x|, & 1 \leq x < 2 \ x + [x], & 2 \leq x \leq 3 \end{cases}$$
where $[t]$ denotes the greatest integer less than or equal to $t$. Then, $f$ is discontinuous at:
(1) only one point
(2) only two points
(3) only three points
(4) four or more points