Teaching HSSC TGT 2023 Mock Test (Latest Pattern) Engineering Mathematics Calculus Differentiability
Let \(\rm f(x) = \left \{ \begin{matrix} \rm \frac{x\ +\ e^x}{x\ -\ 1}; & \rm x \ne\ 1 \\ \rm \frac{1}{2\ -\ x}; & \rm x = 1 \end{matrix}\right.\)
Then which of the following are true
1
f is differentiable at x = 0, and at x = 1
2
f is differentiable at x = 0, but not at x = 1
3
f is neither differentiable at x = 0, nor at x = 1
4
f is not differentiable at x = 1, but not at x = 1
5
Not Attempted