Jee Main
Limits Continuity And Differentiability
JEE Main 2023 (Online) 10th April Morning Shift
INTEGER+4 / -12023
Let \(f:( - 2,2) \to R\) be defined by \(f(x) = \left\{ {\matrix{ {x[x],} & { - 2 < x < 0} \cr {(x - 1)[x],} & {0 \le x \le 2} \cr } } \right.\) where \([x]\) denotes the greatest integer function. If m and n respectively are the number of points in \(( - 2,2)\) at which \(y = |f(x)|\) is not continuous and not differentiable, then \(m + n\) is equal to ____________.
