Mathematics - Continuity - Differentiability Question with Solution | TestHub

L.H.D $={\mathrm{Lt}}_{x\to a^{-}}\frac{f(x)-f(a)}{x-a}={\mathrm{Lt}}_{h\to o^{-}}\frac{f(a-h)-f(a)}{a-h-a}={\mathrm{lt}}_{h\to o^{-}}\frac{|-h|g(a-h)}{h}=-g(a)$

R.H.D=g(a)