JEE PYQ: Continuity And Differentiability Question 13
Question 13 - 2020 (04 Sep Shift 2)
The function $f(x) = \begin{cases} \dfrac{\pi}{4} + \tan^{-1}x, & |x| \leq 1 \ \dfrac{1}{2}(|x| - 1), & |x| > 1 \end{cases}$ is:
(1) continuous on $\mathbb{R} - {1}$ and differentiable on $\mathbb{R} - {-1, 1}$
(2) both continuous and differentiable on $\mathbb{R} - {1}$
(3) continuous on $\mathbb{R} - {-1}$ and differentiable on $\mathbb{R} - {-1, 1}$
(4) both continuous and differentiable on $\mathbb{R} - {-1}$
BETA
