Mathematics - Continuity - Differentiability Question with Solution | TestHub

${\lim }_{\mathrm{h}\to 0}\mathrm{f}(\mathrm{a}+\mathrm{h})={\lim }_{\mathrm{h}\to 0}\sqrt{1-{\mathrm{e}}^{-}(\mathrm{a}+\mathrm{h}{)}^2}$ WHEN $\mathrm{A}=0$ $=0=\mathrm{F}(0)\Rightarrow$ CONTINUOUS AT $\mathrm{X}=0$

CLEARLY AT $\mathrm{X}=0$ TANGENTS IS Y-AXIS ⇒ $\mathrm{f}(\mathrm{x})$ is not differentiable at $\mathrm{x}=0$